{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "9f5ef59c",
   "metadata": {},
   "source": [
    "# Inputs Construction\n",
    "\n",
    "[![Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/brainpy/brainpy/blob/master/docs_version2/tutorial_toolbox/inputs.ipynb)\n",
    "[![Open in Kaggle](https://kaggle.com/static/images/open-in-kaggle.svg)](https://kaggle.com/kernels/welcome?src=https://github.com/brainpy/brainpy/blob/master/docs_version2/tutorial_toolbox/inputs.ipynb)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "95e252ca",
   "metadata": {},
   "source": [
    "@[Chaoming Wang](https://github.com/chaoming0625)\n",
    "@[Xiaoyu Chen](mailto:c-xy17@tsinghua.org.cn)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "In this section, we are going to talk about stimulus inputs."
   ],
   "id": "8328d9c5150a5368"
  },
  {
   "cell_type": "code",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-10-06T04:10:38.870272Z",
     "start_time": "2025-10-06T04:10:33.263072Z"
    }
   },
   "source": [
    "import brainpy as bp\n",
    "import brainpy.math as bm\n",
    "\n",
    "bp.__version__"
   ],
   "id": "c8d0aba99112fc22",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'3.0.0'"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 1
  },
  {
   "cell_type": "markdown",
   "id": "3451b77b",
   "metadata": {},
   "source": [
    "## Input construction functions "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e377d41a",
   "metadata": {},
   "source": [
    "Like electrophysiological experiments, model simulation also needs various kind of inputs. BrainPy provide several convenient input functions to help users construct input currents. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "844fcb78",
   "metadata": {},
   "source": [
    "### 1\\. ``brainpy.inputs.section_input()``\n",
    "\n",
    "[brainpy.inputs.section_input()](../apis/inputs/generated/brainpy.inputs.section_input.rst) is an updated function of previous `brainpy.inputs.constant_input()` (see below).\n",
    "\n",
    "Sometimes, we need input currents with different values in different periods. For example, if you want to get an input that is 0 in the first 100 ms, 1 in the next 300 ms, and 0 again from the last 100 ms, you can define:"
   ]
  },
  {
   "cell_type": "code",
   "id": "a4ff6914",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T04:10:39.074144Z",
     "start_time": "2025-10-06T04:10:38.875118Z"
    }
   },
   "source": [
    "current1, duration = bp.inputs.section_input(values=[0, 1., 0.],\n",
    "                                             durations=[100, 300, 100],\n",
    "                                             return_length=True,\n",
    "                                             dt=0.1)"
   ],
   "outputs": [],
   "execution_count": 2
  },
  {
   "cell_type": "markdown",
   "id": "64f9a99c",
   "metadata": {},
   "source": [
    "Where `values` receive a list/arrray of the current values in each section and `durations` receives a list/array of the duration of each section. The function returns a tensor as the current, the length of which is `duration`$/\\mathrm{d}t$ (if not specified, $\\mathrm{d}t=0.1 \\mathrm{ms}$). We can visualize the current input by:"
   ]
  },
  {
   "cell_type": "code",
   "id": "078fbd0d",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T04:10:39.178665Z",
     "start_time": "2025-10-06T04:10:39.081405Z"
    }
   },
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def show(current, duration, title):\n",
    "    ts = np.arange(0, duration, bm.get_dt())\n",
    "    plt.plot(ts, current)\n",
    "    plt.title(title)\n",
    "    plt.xlabel('Time [ms]')\n",
    "    plt.ylabel('Current Value')\n",
    "    plt.show()\n",
    "\n",
    "show(current1, duration, 'values=[0, 1, 0], durations=[100, 300, 100]')"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 3
  },
  {
   "cell_type": "markdown",
   "id": "54aec8c9",
   "metadata": {},
   "source": [
    "### 2\\. ``brainpy.inputs.constant_input()``"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1a18a549",
   "metadata": {},
   "source": [
    "[brainpy.inputs.constant_input()](../apis/inputs/generated/brainpy.inputs.constant_input.rst) function helps users to format constant currents in several periods.\n",
    "\n",
    "We can generate the above input current with `constant_input()` by:"
   ]
  },
  {
   "cell_type": "code",
   "id": "6b1eee02",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T04:10:39.190605Z",
     "start_time": "2025-10-06T04:10:39.184676Z"
    }
   },
   "source": [
    "current2, duration = bp.inputs.constant_input([(0, 100), (1, 300), (0, 100)])"
   ],
   "outputs": [],
   "execution_count": 4
  },
  {
   "cell_type": "markdown",
   "id": "26708359",
   "metadata": {},
   "source": [
    "Where each tuple in the list contains the value and duration of the input in this section."
   ]
  },
  {
   "cell_type": "code",
   "id": "8ea6dea6",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T04:10:39.270453Z",
     "start_time": "2025-10-06T04:10:39.204753Z"
    }
   },
   "source": [
    "show(current2, duration, '[(0, 100), (1, 300), (0, 100)]')"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 5
  },
  {
   "cell_type": "markdown",
   "id": "6cc74d90",
   "metadata": {},
   "source": [
    "### 3\\. ``brainpy.inputs.spike_input()``"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e862ebad",
   "metadata": {},
   "source": [
    "[brainpy.inputs.spike_input()](../apis/inputs/generated/brainpy.inputs.spike_input.rst) constructs an input containing a series of short-time spikes. It receives the following settings:\n",
    "\n",
    "- `sp_times` :  The spike time-points. Must be an iterable object. For example, list, tuple, or arrays.\n",
    "- `sp_lens` : The length of each point-current, mimicking the spike durations. It can be a scalar float to specify the unified duration. Or, it can be list/tuple/array of time lengths with the length same with `sp_times`. \n",
    "- `sp_sizes` : The current sizes. It can be a scalar value. Or, it can be a list/tuple/array of spike current sizes with the length same with `sp_times`.\n",
    "- `duration` : The total current duration.\n",
    "- `dt` : The time step precision. The default is None (will be initialized as the default `dt` step). "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "067aae19",
   "metadata": {},
   "source": [
    "For example, if you want to generate a spike train at 10 ms, 20 ms, 30 ms, 200 ms, 300 ms, where each spike lasts 1 ms and the average value for each spike is 0.5, then you can define the current by:"
   ]
  },
  {
   "cell_type": "code",
   "id": "e6ea2868",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T04:10:39.593820Z",
     "start_time": "2025-10-06T04:10:39.277488Z"
    }
   },
   "source": [
    "current3 = bp.inputs.spike_input(\n",
    "    sp_times=[10, 20, 30, 200, 300],\n",
    "    sp_lens=1.,  # can be a list to specify the spike length at each point\n",
    "    sp_sizes=0.5,  # can be a list to specify the spike current size at each point\n",
    "    duration=400.)\n",
    "\n",
    "show(current3, 400, 'Spike Input Example')"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 6
  },
  {
   "cell_type": "markdown",
   "id": "146ebc19",
   "metadata": {},
   "source": [
    "### 4\\. ``brainpy.inputs.ramp_input()``"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1eb035a2",
   "metadata": {},
   "source": [
    "[brainpy.inputs.ramp_input()](../apis/inputs/generated/brainpy.inputs.ramp_input.rst) mimics a ramp or a step current to the input of the circuit. It receives the following settings:\n",
    "\n",
    "- `c_start` : The minimum (or maximum) current size.\n",
    "- `c_end` : The maximum (or minimum) current size.\n",
    "- `duration` : The total duration.\n",
    "- `t_start` : The ramped current start time-point.\n",
    "- `t_end` : The ramped current end time-point. Default is the None.\n",
    "- `dt` : The current precision.\n",
    "\n",
    "We illustrate the usage of `brainpy.inputs.ramp_input()` by two examples."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "68262531",
   "metadata": {},
   "source": [
    "In the first example, we increase the current size from 0. to 1. between the start time (0 ms) and the end time (500 ms). "
   ]
  },
  {
   "cell_type": "code",
   "id": "ce29ec3c",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T04:10:39.822588Z",
     "start_time": "2025-10-06T04:10:39.601218Z"
    }
   },
   "source": [
    "duration = 500\n",
    "current4 = bp.inputs.ramp_input(0, 1, duration)\n",
    "\n",
    "show(current4, duration, r'$c_{start}$=0, $c_{end}$=%d, duration, '\n",
    "                        r'$t_{start}$=0, $t_{end}$=None' % (duration))"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 7
  },
  {
   "cell_type": "markdown",
   "id": "7f765623",
   "metadata": {},
   "source": [
    "In the second example, we increase the current size from 0. to 1. from the 100 ms to 400 ms."
   ]
  },
  {
   "cell_type": "code",
   "id": "d0caf6ea",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T04:10:39.957380Z",
     "start_time": "2025-10-06T04:10:39.827780Z"
    }
   },
   "source": [
    "duration, t_start, t_end = 500, 100, 400\n",
    "current5 = bp.inputs.ramp_input(0, 1, duration, t_start, t_end)\n",
    "\n",
    "show(current5, duration, r'$c_{start}$=0, $c_{end}$=1, duration=%d, '\n",
    "                        r'$t_{start}$=%d, $t_{end}$=%d' % (duration, t_start, t_end))"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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p0kX8/fff6vXWr18v7rvvPuHs7CwcHByEXC4XJ06cEEqlUtjY2IisrKw6z/3f+zdVeXm5eOmll4SHh4dQKBTivvvuEzt37rxtveLiYgFAjB079q6Pd6+xWb9+vTA3NxcODg7qL1tbW/HSSy8JIWpP/29lZSWuXr2qfszhw4eLr776Sqxfv14MGDCgzvP1799f/PDDD00dBiGEEG3btq33BHf410ntGjoOtxw8eFCEhIQIS0vLu57ETwghfv/9dxEQECAsLS1Fx44dxddff33Hk/j993IDQghx8+ZNMWXKFOHi4iJsbW3FoEGDRGpqqmjbtq2YPHlynXXffPNN4eXlJeRyeYNO4jdo0CBha2srbGxsRP/+/cXhw4frPN6dctX3eI310UcfiZ49ewpnZ2dhbm4uPD09xcSJE+s9M21DX9earNvQ331WVpZ6vACIjz/+WH2boWwXGvJeuKWh46ftcRai/rG+2zbmbtsXIYTOtzH/dqeT+Amhm9evIWC5MSAZGRmiTZs2YteuXaKyslJYWFioT5e/c+dO0alTJ3H8+HFRU1MjsrOzRYsWLUR1dbVIS0sT7u7udR7rv/dvTr/++quQyWQiJSWlSY+zfPly8fTTT9/x9tTUVOHm5lZnma+vr0hKShLLli0To0ePVi/Pzs4WCoVCpKWlNSmTJrQ1DmR4tPm7N5btgi40dZzvto252/ZFCKEX2xhTxgnFeu6HH35Aeno6gNpDYKuqqtCpUycUFxcDqD2KAajdvezj44MuXbogKysLEydOhL+/P8zNzZGSknLbEQD/vX9z2r9/P8aOHdvkE9AFBQVh586dSE1NBVB7/od/z0E5ceJEnZ+7uLgYWVlZ6NKlCzp27IgDBw7g8uXLyM/Px+TJkyGTydRzfZqDtsaBDE9Tf/fGuF3QhaaO8922MXfbvgDQi22MKeOcGz138OBBzJw5EyUlJWjfvj0+//xz9YTScePGoU2bNujatSu2bt2K7777Dk5OTujZsycCAgLUs95PnDhx27kbWrZsWef+f//9d7P9TEuXLtXK4/Tr1w+zZ8/Gww8/jJs3b8Ld3R3PPfccBg0aBOD2jc/Jkyfh7+8PS0tLDB48GI888gi6du2K1q1bY8CAAcjPz9fpJRT+S1vjQIanqb97Y9wu6EJTx/lu25i7bV8A6MU2xpTJhPjPIRFEREREBowVkoiIiIwKyw0REREZFZYbIiIiMiomN6FYpVLh6tWrsLOza/Cp44mIiEhaQggUFxejVatW95yYbXLl5urVqwZ3GmkiIiKqdfny5TteluQWkys3dnZ2AGoHpzHXsiEiIqLmV1RUBG9vb/Xf8bsxuXJz66Moe3t7lhsiIiID05ApJZxQTEREREaF5YaIiIiMCssNERERGRWWGyIiIjIqLDdERERkVFhuiIiIyKiw3BAREZFRYbkhIiIio8JyQ0REREaF5YaIiIiMiqTl5o8//sCwYcPQqlUryGQybN++/Z73OXDgAHr06AGFQgE/Pz+sW7dO5zmJiIjIcEhabkpLSxEYGIhVq1Y1aP309HQMHToU/fv3R3JyMubOnYtnnnkGu3bt0nFSIiIiMhSSXjjzkUcewSOPPNLg9ePi4uDr64sPPvgAANC5c2f8+eef+PDDDzFo0CBdxSQiIiNQUa2ElYWZ1DGoGRjUnJsjR44gIiKizrJBgwbhyJEjd7xPZWUlioqK6nwREZFp+fzQRQTE7MIPCVekjkLNwKDKTU5ODtzd3essc3d3R1FREcrLy+u9T2xsLBwcHNRf3t7ezRGViIj0xIG0PLy94wxqVAIpVwqkjkPNwKDKTWPMnz8fhYWF6q/Lly9LHYmIiJpJ+rVSzNmUBCGkTkLNSdI5N5ry8PBAbm5unWW5ubmwt7eHtbV1vfdRKBRQKBTNEY+IiPRISWUNpq2PR1FFjdRRqJkZ1J6b8PBw7N27t86y3bt3Izw8XKJERESkj1QqgagtyTiXVwJ3ewXG3scpCaZE0nJTUlKC5ORkJCcnA6g91Ds5ORmZmZkAaj9SmjRpknr9GTNm4OLFi3jllVeQmpqK1atX49tvv8ULL7wgRXwiItJTK/adx++nc2FpJkfcxBC42XEPvimRtNzEx8cjODgYwcHBAICoqCgEBwcjOjoaAJCdna0uOgDg6+uLX3/9Fbt370ZgYCA++OADfP755zwMnIiI1HafzsWHe84CAN56PADBbZwkTkTNTdI5Nw8++CDEXWZ51Xf24QcffBBJSUk6TEVERIbqfF4xXtiSDAB4qpcPRofy4yhTZFBzboiIiO6ksLwaU9cnoKSyBmG+zlgwtPNt6/CgKdPAckNERAZPqRKYuzkJ6ddK4eVojdUTesDCjH/iTBV/80REZPA+3H0W+9PyoTCX49PIELS05QRiU8ZyQ0REBm3HiWys3H8eAPDuyO4I8HKQOBFJjeWGiIgMVmpOEV767jgAYGpfX4wI9qp/RZmsGVOR1FhuiIjIIBWUVWHa+gSUVSnRx88F8wZ3kjoS6QmWGyIiMjg1ShVmb0pC5o0yeDtbY8W4YJhzAjH9f3wlEBGRwXlvVxoOnbsGawszrIkMhVMLywbdjxfQNA0sN0REZFB+TM7Cmj8uAgDefzIQnT3tJU5E+oblhoiIDMbJrEK88n0KAGBm//YY2t1T4kSkj1huiIjIIFwvqcT0DQmorFGhf0dXRD3cUepIpKdYboiISO9VK1WYuTERWQXl8HVpgeVjg2Emb/jh3TwQ3LSw3BARkd57+9cz+PviDdgqzPHZpBA4WFtIHYn0GMsNERHpte/iL2Pd4QwAwLLRgfBzs5M2EOk9lhsiItJbyZcLsGD7SQDA3IgOGNjVo0mPJ3hdcJPAckNERHopr7gCMzYkoKpGhYe7uGPOgA5SRyIDwXJDRER6p6pGhee+TkROUQX83GyxbHQg5BpMICbTxnJDRER6Z9HPpxB/6SbsrMyxJjIEdlacQEwNx3JDRER65Zujl7DxaCZkMuDjccFo52rb5MfkRcFNC8sNERHpjfiMG1j00ykAwMuDOqJ/RzeJE5EhYrkhIiK9kFNYgRlfJ6JaKTC0myee7dde6khkoFhuiIhIchXVSkz/OgHXSirRycMOS5/sDhk/S6JGYrkhIiJJCSGwcPtJHL9cAEcbC6yJDIWNpbmOnksnD0t6huWGiIgktf7IJXyfcAVyGbByXA+0aWkjdSQycCw3REQkmSMXruONX04DAF4b0hl9OrhInIiMAcsNERFJ4srNMszcmAilSmBEUCs83cdXZ88l43XBTQrLDRERNbvyKiWmb0jAjdIqBHjZ452RnEBM2sNyQ0REzUoIgVe3puDU1SK0bGGJTyNDYWVhJnUsMiIsN0RE1Kw+P5SOH5Ovwlwuw+oJPeDlaC11JDIyLDdERNRsDp3LR+xvZwAA0cO6IKxdy2Z9fh4JbhpYboiIqFlkXi/DrI1JUAlgdGhrRN7fVupIZKRYboiISOdKK2swbUM8CsurEeTtiDeGB3ACMekMyw0REemUEAIvf38cqTnFcLVTIG5iCCcQk06x3BARkU6tPnABO07kwMJMhriJPeDhYNXsGbiTyLSw3BARkc7sT83D+7+nAQDeGB6AkLbOEiciU8ByQ0REOnExvwRzNidBCGBCWBuM69lG6khkIlhuiIhI64orqjF1fTyKK2oQ2tYJMcO6Sh0JAK8KbipYboiISKtUKoEXthzHhfxSeNhbYfXEHrA0558baj58tRERkVZ9tPcc9pzJhaW5HJ9GhsDNrvknEJNpY7khIiKt2XUqBx/tPQcAiH28GwK9HaUNRCaJ5YaIiLTiXG4xorYkAwCm9PbByJDW0gb6Fx4JblpYboiIqMkKy2snEJdWKRHeriVeG9JZ6khkwlhuiIioSZQqgec3JyHjehm8HK2xcnwwLMz454Wkw1cfERE1yQe/p+FAWj6sLGonELe0VUgd6S54LLgpYLkhIqJG+yXlKlYfuAAAeHdkdwR4OUiciIjlhoiIGun01SK8/F0KAGD6A+0wPMhL4kREtVhuiIhIYzdLqzBtQzzKq5Xo28EFrwzuJHUkIjWWGyIi0kiNUoVZmxJx5WY52jjbYMW4YJjJ9ftga14V3LSw3BARkUbe+S0Vf52/DhtLM3w2KRSONpZSRyKqg+WGiIgabFvSFXz+ZzoAYNnoQHT0sJM4EdHtWG6IiKhBTlwpxKs/nAAAzB7gh8EBnhInIqofyw0REd3TtZJKTN8Qj8oaFR7q5IYXIvyljtQogqe5MQksN0REdFfVShWe+yYRVwsr0M61BT4cGwS5nk8gJtPGckNERHf15i+ncSz9BmwV5lgTGQp7KwupIxHdFcsNERHd0ZZ/MrH+yCUAwPIxQfBzs5U4UePIeCy4SWG5ISKieiVm3sTr208BAKIe9kdEF3eJExE1jOTlZtWqVfDx8YGVlRXCwsJw7Nixu66/fPlydOzYEdbW1vD29sYLL7yAioqKZkpLRGQa8ooqMGNDAqqUKgzq6o5Z/f2kjkTUYJKWmy1btiAqKgoxMTFITExEYGAgBg0ahLy8vHrX37hxI1599VXExMTgzJkz+OKLL7Blyxa89tprzZyciMh4VdYoMePrBOQVV8Lf3RYfjOYEYjIskpabZcuWYerUqZgyZQq6dOmCuLg42NjYYO3atfWuf/jwYfTu3Rvjx4+Hj48PBg4ciHHjxt1zbw8RETWMEAIxP55CYmYB7K1qJxDbKsyljqU1PBTcNEhWbqqqqpCQkICIiIj/CyOXIyIiAkeOHKn3Pr169UJCQoK6zFy8eBE7duzAkCFD7vg8lZWVKCoqqvNFRET1++ZoJjb/cxlyGbBifA/4uLSQOhKRxiSr49euXYNSqYS7e90Jau7u7khNTa33PuPHj8e1a9fQp08fCCFQU1ODGTNm3PVjqdjYWCxevFir2YmIjNGx9BtY9FPtBOJXBndCP39XiRMRNY7kE4o1ceDAASxZsgSrV69GYmIitm7dil9//RVvvvnmHe8zf/58FBYWqr8uX77cjImJiAxDdmE5nvsmATUqgUe7e2L6A+2kjkTUaJLtuXFxcYGZmRlyc3PrLM/NzYWHh0e993n99dcRGRmJZ555BgDQrVs3lJaWYtq0aViwYAHk8tu7mkKhgEKh0P4PQERkJCqqlZi+IQHXSqrQ2dMe743qzvPCkEGTbM+NpaUlQkJCsHfvXvUylUqFvXv3Ijw8vN77lJWV3VZgzMzMANROgiMiIs0IIfDathNIuVIIJxsLrIkMgY2l8UwgJtMk6Ss4KioKkydPRmhoKHr27Inly5ejtLQUU6ZMAQBMmjQJXl5eiI2NBQAMGzYMy5YtQ3BwMMLCwnD+/Hm8/vrrGDZsmLrkEBFRw335Vwa2JmbBTC7DyvE94O1sI3UkoiaTtNyMGTMG+fn5iI6ORk5ODoKCgrBz5071JOPMzMw6e2oWLlwImUyGhQsXIisrC66urhg2bBjefvttqX4EIiKDdfj8Nby94wwA4LUhndHbz0XiRLonwL38pkAmTOzznKKiIjg4OKCwsBD29vZSxyEiksTlG2V4bOWfuFlWjSeCvfDB6ECjnmezav95LN2VhtGhrfHeqECp41AjaPL326COliIioqYrr1Ji2oYE3CyrRvfWDljyRDejLjZkelhuiIhMiBACr/yQgjPZRXCxtUTcxBBYWXDOIhkXlhsiIhOy5o+L+Pn4VZjLZVg9IQStHK2ljtQsuGPKtLDcEBGZiINn8/HuztozwMc81hU9fZ0lTkSkGyw3REQmIONaKWZvTIRKAGPv88bEsDZSRyLSGZYbIiIjV1JZg2kb4lFUUYPgNo5YPLwrJxCTUWO5ISIyYiqVwIvfJuNsbgnc7BSImxgChbnpTiA2rZOfmC6WGyIiI7Zq/3nsOpULSzM54iJD4G5vJXUkIp1juSEiMlJ7Tudi2Z6zAIA3hndFjzZOEiciah4sN0RERuh8Xgle2JIMIYDI+9tibE/TnkAsA+cYmRKWGyIiI1NUUY1pG+JRXFmDnr7OiB7WRepIRM2K5YaIyIioVAIvbE7GxfxSeDpYYfWEHrAw46aeTAtf8URERmT5nrPYm5oHhbkcayJD4WKrkDoSUbNjuSEiMhI7T2bj433nAQCxT3RDt9YOEifSPzwS3DSw3BARGYG0nGJEfXscAPB0H1880aO1xImIpMNyQ0Rk4ArKqjBtQzzKqpTo1b4l5j/SSepIRJJiuSEiMmBKlcDsTUm4dL0MrZ2ssXJ8D5hzAvFteLUJ08J3ABGRAXtvVyoOnbsGK4vaCcTOLSyljkQkOZYbIiID9dPxq/j04EUAwNJRgejSyl7iRET6geWGiMgAnbpaiFe+r51APKNfewwLbCVxIiL9wXJDRGRgbpRWYdr6BFRUq9DP3xUvD+oodSSDwauCmwaWGyIiA1KjVGHmN4nIKiiHT0sbfDw2GGZyzpYl+jeWGyIiA7JkRyqOXLyOFpZmWDMpFA42FlJHItI7LDdERAbih4QrWPtXOgDgg9FB8He3kziR4eC+LdPCckNEZACOXy7A/G0nAABzHuqAwQEeEici0l8sN0REei6/uBLTNySgqkaFiM5umPtQB6kjEek1lhsiIj1WVaPCc98kIKeoAu1dW+DDMUGQcwIx0V2x3BAR6bE3fjmFfzJuwk5hjjWTQmFnxQnETSF4XXCTwHJDRKSnNh3LxNd/Z0ImAz4aF4T2rrZSRyIyCCw3RER6KOHSDUT/eBIA8OLD/hjQyV3iRESGg+WGiEjP5BZVYMbXiahWCgzp5oGZ/f2kjkRkUFhuiIj0SGWNEtM3JCC/uBId3e2wdFQgZDJOIG4qDqFpYbkhItITQgi8vv0kki8XwMHaAmsmhaCFwlzqWEQGh+WGiEhPfP33JXwbfwVyGbBiXDDatmwhdSQig8RyQ0SkB45evI7FP58GALz6SCc84O8qcSIiw8VyQ0QksayCcjz3TSJqVAKPBbbC1L7tpI5kvHiaG5PAckNEJKGKaiWmb4jH9dIqdPG0x7sju3MCMVETsdwQEUlECIH5W0/gZFYRnFtYYs2kEFhbmkkdi8jgsdwQEUnkiz/TsS0pC2ZyGVaOD0ZrJxupIxktGbg3zJSw3BARSeDPc9ewZMcZAMDCoZ3Rq72LxImIjAfLDRFRM7t8owyzNiVCJYBRIa3xVC8fqSMRGRWWGyKiZlRWVYOp6+NRUFaNwNYOeGtEACcQE2kZyw0RUTMRQuDl71OQmlMMF1sF4iJDYGXBCcTNiUeCmwaWGyKiZvLJwQv4NSUbFmYyxE3sAU8Ha6kjERkllhsiomawPy0PS3elAQAWPdYVoT7OEiciMl4sN0REOpZ+rRRzNiVBCGBczzaYENZW6kgmh9OaTAvLDRGRDpVU1k4gLq6oQUhbJyx6rIvUkYiMHssNEZGOqFQCUVuScT6vBO72CnwyoQcU5pxATKRrTSo3FRUV2spBRGR0Vuw7j99P58LSTI64iSFws7eSOhKRSdC43KhUKrz55pvw8vKCra0tLl68CAB4/fXX8cUXX2g9IBGRIdp9Ohcf7jkLAHjr8QAEt3GSOBEBtYfjk/HTuNy89dZbWLduHd577z1YWlqqlwcEBODzzz/XajgiIkN0Pq8YL2xJBgA81csHo0O9pQ1EZGI0Ljfr16/HmjVrMGHCBJiZ/d9nx4GBgUhNTdVqOCIiQ1NYXo2p6xNQUlmDMF9nLBjaWepIRCZH43KTlZUFPz+/25arVCpUV1drJRQRkSFSqgTmbk5C+rVSeDlaY/WEHrAw43EbRM1N43ddly5dcOjQoduWf//99wgODtZKKCIiQ7Rsdxr2p+VDYS7Hp5EhaGmrkDoSkUky1/QO0dHRmDx5MrKysqBSqbB161akpaVh/fr1+OWXX3SRkYhI7/2ako1V+y8AAN4d2R0BXg4SJyIyXRrvuRk+fDh+/vln7NmzBy1atEB0dDTOnDmDn3/+GQ8//LAuMhIR6bUz2UV46bvjAICpfX0xIthL4kREpq1RHwb37dsXu3fvRl5eHsrKyvDnn39i4MCBjQqwatUq+Pj4wMrKCmFhYTh27Nhd1y8oKMDMmTPh6ekJhUIBf39/7Nixo1HPTUTUVAVlVZi2IR7l1Ur08XPBvMGdpI5Ed8EDwU2Dxh9LadOWLVsQFRWFuLg4hIWFYfny5Rg0aBDS0tLg5uZ22/pVVVV4+OGH4ebmhu+//x5eXl64dOkSHB0dmz88EZm8GqUKszcl4fKNcng7W2PFuGCYcwIxkeQ0LjdyuRyyu1yBTKlUNvixli1bhqlTp2LKlCkAgLi4OPz6669Yu3YtXn311dvWX7t2LW7cuIHDhw/DwsICAODj46PZD0BEpCXv7UrDoXPXYG1hhjWRoXBqYXnvOxGRzmlcbrZt21bn++rqaiQlJeGrr77C4sWLG/w4VVVVSEhIwPz589XL5HI5IiIicOTIkXrv89NPPyE8PBwzZ87Ejz/+CFdXV4wfPx7z5s2rc86df6usrERlZaX6+6KiogZnJCK6kx+Ts7Dmj9oztL//ZCA6e9pLnIiIbtG43AwfPvy2ZaNGjULXrl2xZcsWPP300w16nGvXrkGpVMLd3b3Ocnd39zueDPDixYvYt28fJkyYgB07duD8+fN47rnnUF1djZiYmHrvExsbq1HpIiK6l5NZhXjl+xQAwMz+7TG0u6fEiehe7vaJAxkfrX04fP/992Pv3r3aerh6qVQquLm5Yc2aNQgJCcGYMWOwYMECxMXF3fE+8+fPR2Fhofrr8uXLOs1IRMbtekklpm9IQGWNCv07uiLq4Y5SRyKi/9DKhOLy8nJ8/PHH8PJq+OGPLi4uMDMzQ25ubp3lubm58PDwqPc+np6esLCwqPMRVOfOnZGTk4Oqqqo617q6RaFQQKHgibSIqOmqlSo8900isgrK4evSAsvHBsNMzj0CRPpG4z03Tk5OcHZ2Vn85OTnBzs4Oa9euxdKlSxv8OJaWlggJCamzt0elUmHv3r0IDw+v9z69e/fG+fPnoVKp1MvOnj0LT0/PeosNEZE2vf3rGRxNvwFbhTk+mxQCB2sLqSMRUT003nPz4Ycf1vnsUi6Xw9XVFWFhYXByctLosaKiojB58mSEhoaiZ8+eWL58OUpLS9VHT02aNAleXl6IjY0FADz77LNYuXIlnn/+ecyePRvnzp3DkiVLMGfOHE1/DCIijXwbfxnrDmcAAJaNDoSfm520gahRBE90YxI0LjdPPfWU1p58zJgxyM/PR3R0NHJychAUFISdO3eqJxlnZmZCLv+/nUve3t7YtWsXXnjhBXTv3h1eXl54/vnnMW/ePK1lIiL6r6TMm1i47SQAYG5EBwzsWv9H50SkHxpUblJSUhr8gN27d9cowKxZszBr1qx6bztw4MBty8LDw/H3339r9BxERI2VV1yBGV8noEqpwsNd3DFnQAepIxHRPTSo3AQFBUEmk0HcY3+eTCbT6CR+RET6rKpGhWe/TkRuUSX83GyxbHQg5JxAbJD4WzMtDSo36enpus5BRKR3Fv18CgmXbsLOyhxrIkNgZ8UJxESGoEHlpm3btrrOQUSkV745egkbj2ZCJgM+HheMdq62UkciogZq9HluTp8+jczMTFRVVdVZ/thjjzU5FBGRlOIzbmDRT6cAAC8P6oj+HW+/kC8R6S+Ny83Fixfx+OOP48SJE3Xm4dw6PJxzbojIkOUUVmDG14moVgoM7eaJZ/u1lzoSaRGPBDcNGp/E7/nnn4evry/y8vJgY2ODU6dO4Y8//kBoaGi9RzcRERmKimolpm+Ix7WSSnTysMPSJ7vzmkREBkjjPTdHjhzBvn374OLiArlcDrlcjj59+iA2NhZz5sxBUlKSLnISEemUEAILtp3E8SuFcLSxwJrIUNhYauUKNUTUzDTec6NUKmFnV3tmThcXF1y9ehVA7aTjtLQ07aYjImomXx3OwA+JVyCXASvH9UCbljZSRyIt4g4406Lxf0sCAgJw/Phx+Pr6IiwsDO+99x4sLS2xZs0atGvXThcZiYh06siF63jz1zMAgNeGdEafDi4SJyKiptC43CxcuBClpaUAgDfeeAOPPvoo+vbti5YtW2LLli1aD0hEpEtXbpZh5sZEKFUCI4Ja4ek+vlJHIqImanC5CQ0NxTPPPIPx48fD3t4eAODn54fU1FTcuHEDTk5OnHhHRAalvEqJ6RsScKO0CgFe9nhnJCcQExmDBs+5CQwMxCuvvAJPT09MmjSpzpFRzs7O3CAQkUERQuDVrSk4dbUILVtY4tPIUFhZmEkdi3TsXpcRIuPQ4HLzxRdfICcnB6tWrUJmZiYeeugh+Pn5YcmSJcjKytJlRiIirfv8UDp+TL4Kc7kMqyf0gJejtdSRiEhLNDpaysbGBk899RQOHDiAs2fPYuzYsfj000/h4+ODoUOHYuvWrbrKSUSkNYfO5SP2t9oJxNHDuiCsXUuJExGRNml8KPgt7du3x1tvvYWMjAxs2rQJf//9N5588kltZiMi0rpL10sxa2MSVAIYHdoakffz2nmmgBMnTEuTzlB14MABfPnll/jhhx9gbm6OqVOnaisXEZHWlVbWYNr6BBSWVyPI2xFvDA/gfEEiI6Rxubly5QrWrVuHdevW4eLFi+jbty9Wr16NJ598EtbW/MyaiPSTEAIvfXccabnFcLVTIG5iCCcQExmpBpebb7/9FmvXrsXevXvh5uaGyZMn43//+x/8/Px0mY+ISCtWH7iA307mwMJMhriJPeDhYCV1JCLSkQaXm4kTJ2Lo0KHYtm0bhgwZArm80dN1iIia1b7UXLz/e+3lYd4YHoCQts4SJyIiXWpwubly5Qrc3Nx0mYWISOsu5Jfg+U3JEAKYENYG43q2kToSSYhnuTENDd79wmJDRIamuKIa09bHo7iyBqFtnRAzrKvUkYioGfCzJSIySiqVwAtbjuNCfik87K2wemIPWJpzk0dkCvhOJyKj9NHec9hzJheW5nJ8GhkCNztOIDZlPOTftLDcEJHR2XUqBx/tPQcAiH28GwK9HaUNRETNSuNy065dO1y/fv225QUFBWjXrp1WQhERNdbZ3GJEbUkGAEzp7YORIa2lDUREzU7jcpORkQGlUnnb8srKSl5Ak4gkVVhWO4G4tEqJ8HYt8dqQzlJHIiIJNPhQ8J9++kn97127dsHBwUH9vVKpxN69e+Hj46PVcEREDaVUCczZnISM62XwcrTGyvHBsDDjJ+/0HzwW3CQ0uNyMGDECQO2krMmTJ9e5zcLCAj4+Pvjggw+0Go6IqKHe/z0NB8/mw8qidgJxS1uF1JGISCINLjcqlQoA4Ovri3/++QcuLi46C0VEpIlfUq7ikwMXAADvjuyOAC+He9yDiIyZxhfOTE9P10UOIqJGOX21CC9/lwIAmP5AOwwP8pI4EekjHgluWjQuNwCwd+9e7N27F3l5eeo9OresXbtWK8GIiO7lZmkVpm2IR3m1En07uOCVwZ2kjkREekDjcrN48WK88cYbCA0NhaenJ0+MRESSqFGqMGtTIq7cLEcbZxusGBcMMzm3R0TUiHITFxeHdevWITIyUhd5iIga5J3fUvHX+euwsTTDZ5NC4WhjKXUkItITGh8nWVVVhV69eukiCxFRg2xNvILP/6yd/7dsdCA6ethJnIgMheCx4CZB43LzzDPPYOPGjbrIQkR0TylXCvDq1hMAgNkD/DA4wFPiRESkbzT+WKqiogJr1qzBnj170L17d1hYWNS5fdmyZVoLR0T0b/nFlZi+IQFVNSo81MkNL0T4Sx2JiPSQxuUmJSUFQUFBAICTJ0/WuY2Ti4lIV6qVKsz8JhHZhRVo59oCH44NgpwTiKmB+EoxLRqXm/379+siBxHRXb35y2kcy7gBW4U51kSGwt7K4t53IiKT1OgLr5w/fx67du1CeXk5AEAITtIiIt3Y8k8m1h+5BABYPiYIfm62EiciIn2mcbm5fv06HnroIfj7+2PIkCHIzs4GADz99NN48cUXtR6QiExbYuZNvL79FAAg6mF/RHRxlzgREek7jcvNCy+8AAsLC2RmZsLGxka9fMyYMdi5c6dWwxGRacsrqsCMDQmoUqowqKs7ZvX3kzoSGTh+yGAaNJ5z8/vvv2PXrl1o3bp1neUdOnTApUuXtBaMiExbZY0SM75OQF5xJfzdbfHBaE4gJqKG0XjPTWlpaZ09NrfcuHEDCoVCK6GIyLQJIRDz4ykkZhbA3qp2ArGtolGXwiMiE6Rxuenbty/Wr1+v/l4mk0GlUuG9995D//79tRqOiEzT10czsfmfy5DLgBXje8DHpYXUkcjQ8VQlJkXj/wq99957eOihhxAfH4+qqiq88sorOHXqFG7cuIG//vpLFxmJyIQcS7+BxT/VTiB+ZXAn9PN3lTgRERkajffcBAQE4OzZs+jTpw+GDx+O0tJSPPHEE0hKSkL79u11kZGITMTVgnI8900CalQCj3b3xPQH2kkdiYgMkEZ7bqqrqzF48GDExcVhwYIFuspERCaoolqJ6RsScK2kCp097fHeqO486zkRNYpGe24sLCyQkpKiqyxEZKKEEHht2wmcyCqEk40F1kSGwMaSE4iJqHE0/lhq4sSJ+OKLL3SRhYhM1Jd/ZWBrYhbM5DKsHN8D3s63H5FJpA08z41p0Pi/RjU1NVi7di327NmDkJAQtGhR9ygGXhWciDRx+Pw1vL3jDADgtSGd0dvPReJERGToNC43J0+eRI8ePQAAZ8+erXMbPx8nIk1cvlGGmRsToVQJPBHshf/19pE6EhEZAY3KjVKpxOLFi9GtWzc4OTnpKhMRmYDyKiWmbUjAzbJqdG/tgCVPdON/kEhn+MoyLRrNuTEzM8PAgQNRUFCgozhEZAqEEHj5++M4k10EF1tLxE0MgZWFmdSxiMhINOo8NxcvXtRFFiIyEZ/+cRG/pGTDXC7D6gkhaOVoLXUkIjIiGpebt956Cy+99BJ++eUXZGdno6ioqM4XEdHdHEjLw7s7UwEAMY91RU9fZ4kTEZGx0XhC8ZAhQwAAjz32WJ3Px4UQkMlkUCqV2ktHREYl41op5mxKghDA2Pu8MTGsjdSRyMQI8FhwU6Bxudm/f7/WQ6xatQpLly5FTk4OAgMDsWLFCvTs2fOe99u8eTPGjRuH4cOHY/v27VrPRUTaU1JZg2kb4lFUUYPgNo5YPLwrJxATkU5oXG769eun1QBbtmxBVFQU4uLiEBYWhuXLl2PQoEFIS0uDm5vbHe+XkZGBl156CX379tVqHiLSPpVK4MVvk3E2twRudgrETQyBwpwTiIlINzQuN3/88cddb3/ggQc0erxly5Zh6tSpmDJlCgAgLi4Ov/76K9auXYtXX3213vsolUpMmDABixcvxqFDh3j0FpGeW7X/PHadyoWlmRxxkSFwt7eSOhKZGO4kNC0al5sHH3zwtmX/3rWsyZybqqoqJCQkYP78+eplcrkcEREROHLkyB3v98Ybb8DNzQ1PP/00Dh061ODnI6Lmt+d0LpbtqT3h5xvDu6JHG54ji4h0S+Nyc/PmzTrfV1dXIykpCa+//jrefvttjR7r2rVrUCqVcHd3r7Pc3d0dqamp9d7nzz//xBdffIHk5OQGPUdlZSUqKyvV3/OILqLmcz6vBC9sSYYQQOT9bTG2JycQE5HuaVxuHBwcblv28MMPw9LSElFRUUhISNBKsPoUFxcjMjISn332GVxcGnb9mdjYWCxevFhnmYiofkUV1Zi2IR7FlTXo6euM6GFdpI5ERCZC43JzJ+7u7khLS9PoPi4uLjAzM0Nubm6d5bm5ufDw8Lht/QsXLiAjIwPDhg1TL1OpVAAAc3NzpKWloX379nXuM3/+fERFRam/Lyoqgre3t0Y5iUgzKpXA3M3JuJhfCk8HK6ye0AMWZhqfVotI63hVcNOgcblJSUmp870QAtnZ2XjnnXcQFBSk0WNZWloiJCQEe/fuxYgRIwDUlpW9e/di1qxZt63fqVMnnDhxos6yhQsXori4GB999FG9pUWhUEChUGiUi4ia5sM9Z7EvNQ8KcznWRIbCxZbvQSJqPhqXm6CgIMhkMoj/1N/7778fa9eu1ThAVFQUJk+ejNDQUPTs2RPLly9HaWmp+uipSZMmwcvLC7GxsbCyskJAQECd+zs6OgLAbcuJSBq/ncjGin3nAQCxT3RDt9a3f5RNRKRLGpeb9PT0Ot/L5XK4urrCyqpxh3aOGTMG+fn5iI6ORk5ODoKCgrBz5071JOPMzEzI5dydTWQI0nKK8eJ3xwEAT/fxxRM9WkuciKiWjNcFNyky8d9dMEauqKgIDg4OKCwshL29vdRxiIxGQVkVHlv5FzJvlKFX+5ZY/7+eMOc8G9ITG49m4rVtJzCwizvWTAqVOg41giZ/vxu85dm3bx+6dOlS76HUhYWF6Nq1K885Q2SilCqB2ZuSkHmjDK2drLFyfA8WGyKSTIO3PsuXL8fUqVPrbUsODg6YPn06li1bptVwRGQY3tuVikPnrsHKonYCsXMLS6kjEZEJa3C5OX78OAYPHnzH2wcOHKjTc9wQkX766fhVfHrwIgBg6ahAdGnFj3uJSFoNLje5ubmwsLC44+3m5ubIz8/XSigiMgynrhbile9rJxDP6NcewwJbSZyI6O5MapKpCWtwufHy8sLJkyfveHtKSgo8PT21EoqI9N/1kkpMW5+AimoV+vm74uVBHaWOREQEQINyM2TIELz++uuoqKi47bby8nLExMTg0Ucf1Wo4ItJP1UoVZm1MQlZBOXxa2uDjscEwk/NQW9JfvCq4aWnweW4WLlyIrVu3wt/fH7NmzULHjrX/S0tNTcWqVaugVCqxYMECnQUlIv2xZMcZHLl4HS0szbBmUigcbO78kTURUXNrcLlxd3fH4cOH8eyzz2L+/PnqMxTLZDIMGjQIq1atuu3q3kRkfL5PuIIv/8oAAHwwOgj+7nbSBiIi+g+NzlDctm1b7NixAzdv3sT58+chhECHDh3g5OSkq3xEpEeOXy7Aa9tqr+8256EOGBxw+wVuiYik1qirgjs5OeG+++7TdhYi0mP5xZWYviEBVTUqRHR2w9yHOkgdiYioXjyFKBHdU1WNCs99k4Ccogq0d22BD8cEQc4JxGSATOuCQ6aL5YaI7umNX07hn4ybsFOYY82kUNhZcQIxEekvlhsiuqtNxzLx9d+ZkMmAj8YFob2rrdSRiIjuiuWGiO4o4dINRP9Ye/LOFx/2x4BOPCKSDBM/RDUtLDdEVK+cwgrM+DoR1UqBId08MLO/n9SRiIgahOWGiG5TUa3E9K8TkF9ciY7udlg6KhAynuKViAwEyw0R1SGEQPSPJ3H8cgEcrC2wZlIIWigaddYIIiJJsNwQUR0b/r6Eb+OvQC4DVowLRtuWLaSORKRFPBbcFLDcEJHa3xev442fTwMAXn2kEx7wd5U4ERGR5lhuiAgAkFVQjpnfJKJGJfBYYCtM7dtO6khERI3CckNEtROIN8TjemkVunja492R3TmBmIwKX86mheWGyMQJITB/6wmczCqCcwtLrJkUAmtLM6ljERE1GssNkYn74s90bEvKgplchpXjg9HayUbqSERETcJyQ2TC/jx3DUt2nAEALBzaGb3au0iciIio6VhuiExU5vUyzNqUCJUARoW0xlO9fKSORKRzvCq4aWC5ITJBZVU1mLYhHgVl1Qhs7YC3RgRwAjERGQ2WGyITI4TAy9+lIDWnGC62CsRFhsDKghOIich4sNwQmZhPDl7AryeyYWEmQ9zEHvB0sJY6EpHOyXhdcJPCckNkQvan5WHprjQAwKLHuiLUx1niRERE2sdyQ2Qi0q+VYs6mJAgBjOvZBhPC2kodiYhIJ1huiExASWUNpq6PR3FFDULaOmHRY12kjkREpDMsN0RGTqUSiNqSjPN5JXC3V+CTCT2gMOcEYiIyXiw3REbu433n8PvpXFiayRE3MQRu9lZSRyKSDE9zYxpYboiM2O+ncrB8zzkAwFuPByC4jZPEiYiIdI/lhshIncstxgtbkgEAT/XywehQb2kDEUmJR4KbFJYbIiNUWF6NaRsSUFqlRJivMxYM7Sx1JCKiZsNyQ2RklCqB5zcnIf1aKbwcrbF6Qg9YmPGtTkSmg1s8IiOzbHcaDqTlQ2Eux6eRIWhpq5A6EhFRs2K5ITIiv6ZkY9X+CwCAd0d2R4CXg8SJiIiaH8sNkZE4k12El747DgCY2tcXI4K9JE5EpH+E4MHgpoDlhsgIFJRVYdqGeJRXK9HHzwXzBneSOhIRkWRYbogMXI1ShdmbknD5Rjm8na2xYlwwzDmBmIhMGLeARAbu3Z2pOHTuGqwtzLAmMhROLSyljkSkd3iaG9PCckNkwLYnZeGzQ+kAgA9GB6Kzp73EiYiIpMdyQ2SgTmYVYt4PKQCAmf3bY0g3T4kTERHpB5YbIgN0raQS09bHo7JGhf4dXRH1cEepIxER6Q2WGyIDU61UYeY3ibhaWAFflxZYPjYYZnLOKCBqCB4IbhpYbogMzNu/nsHR9BuwVZjjs0khcLC2kDoSEZFeYbkhMiDfxl/GusMZAIBlowPh52YnbSAiIj3EckNkIJIyb2LhtpMAgLkRHTCwq4fEiYgMh0zGj25NCcsNkQHIK67AjK8TUKVU4eEu7pgzoIPUkYiI9BbLDZGeq6xR4tmvE5FbVAk/N1ssGx0IOScQExHdEcsNkZ5b9NNpJFy6CTsrc6yJDIGdFScQExHdDcsNkR775uglbDqWCZkM+HhcMNq52kodiYhI77HcEOmpfzJuYNFPpwAALw/qiP4d3SRORGT4BE90YxJYboj0UHZhOZ79OhHVSoGh3TzxbL/2UkciIjIYelFuVq1aBR8fH1hZWSEsLAzHjh2747qfffYZ+vbtCycnJzg5OSEiIuKu6xMZmopqJWZsSMC1kkp08rDD0ie78zBWoibiO8i0SF5utmzZgqioKMTExCAxMRGBgYEYNGgQ8vLy6l3/wIEDGDduHPbv348jR47A29sbAwcORFZWVjMnJ9I+IQQWbDuJ41cK4WhjgTWRobCxNJc6FhGRQZG83CxbtgxTp07FlClT0KVLF8TFxcHGxgZr166td/1vvvkGzz33HIKCgtCpUyd8/vnnUKlU2Lt3bzMnJ9K+rw5n4IfEK5DLgJXjeqBNSxupIxERGRxJy01VVRUSEhIQERGhXiaXyxEREYEjR4406DHKyspQXV0NZ2dnXcUkahZHLlzHm7+eAQC8NqQz+nRwkTgREZFhknR/97Vr16BUKuHu7l5nubu7O1JTUxv0GPPmzUOrVq3qFKR/q6ysRGVlpfr7oqKixgcm0pErN8swc2MilCqBEUGt8HQfX6kjEREZLMk/lmqKd955B5s3b8a2bdtgZWVV7zqxsbFwcHBQf3l7ezdzSqK7K69SYvqGBNworUKAlz3eGckJxES6wiPBTYOk5cbFxQVmZmbIzc2tszw3NxceHne/KOD777+Pd955B7///ju6d+9+x/Xmz5+PwsJC9dfly5e1kp1IG4QQmPdDCk5dLULLFpb4NDIUVhZmUsciIjJokpYbS0tLhISE1JkMfGtycHh4+B3v99577+HNN9/Ezp07ERoaetfnUCgUsLe3r/NFpC8+O3QRPx2/CnO5DKsn9ICXo7XUkYiMEneGmhbJjzGNiorC5MmTERoaip49e2L58uUoLS3FlClTAACTJk2Cl5cXYmNjAQDvvvsuoqOjsXHjRvj4+CAnJwcAYGtrC1tbnpqeDMcfZ/Pxzm+1c8uih3VBWLuWEiciIjIOkpebMWPGID8/H9HR0cjJyUFQUBB27typnmScmZkJufz/djB98sknqKqqwqhRo+o8TkxMDBYtWtSc0Yka7dL1UszelASVAEaHtkbk/W2ljkREZDQkLzcAMGvWLMyaNave2w4cOFDn+4yMDN0HItKh0soaTFufgMLyagR5O+KN4QGcQExEpEUGfbQUkaERQuCl744jLbcYrnYKxE0M4QRiIiItY7khakarD1zAbydzYGEmQ9zEHvBwqP8UBkSkG4KXBTcJLDdEzWRfai7e/z0NAPDG8ACEtOVZtYmIdIHlhqgZXMgvwfObkiEEMCGsDcb1bCN1JCIio8VyQ6RjRRXVmLo+HsWVNQht64SYYV2ljkRkcjhn37Sw3BDpkEolELUlGRfzS+Fhb4XVE3vA0pxvOyIiXeJWlkiHlu89hz1n8mBpLsenkSFws+MEYiIiXWO5IdKRnSdz8PHecwCA2Me7IdDbUdpAREQmguWGSAfO5hbjxW+TAQBTevtgZEhraQMREZkQlhsiLSssq8a09fEorVIivF1LvDaks9SRiIhMCssNkRYpVQJzNich43oZvBytsXJ8MCzM+DYjImpO3OoSadH7v6fh4Nl8WFnUTiBuaauQOhIRAZCBx4KbEpYbIi35JeUqPjlwAQDw7sjuCPBykDgREZFpYrkh0oLTV4vw8ncpAIDpD7TD8CAviRMREZkulhuiJrpRWoVpG+JRXq1E3w4ueGVwJ6kjERGZNJYboiaoUaowa2MirtwsRxtnG6wYFwwzOT/bJyKSEssNURPE/paKwxeuw8bSDJ9NCoWjjaXUkYjoLoSQOgE1B5YbokbamngFX/yZDgBYNjoQHT3sJE5EREQAyw1Ro6RcKcCrW08AAGYP8MPgAE+JExHR3fCq4KaF5YZIQ/nFlZi+IQFVNSo81MkNL0T4Sx2JiIj+heWGSAPVShVmfpOI7MIKtHNtgQ/HBkHOCcRERHqF5YZIA2/+chrHMm7AVmGONZGhsLeykDoSERH9B8sNUQNt+ScT649cAgAsHxMEPzdbiRMREVF9WG6IGiDh0k28vv0UACDqYX9EdHGXOBERNYYAjwU3BSw3RPeQW1SBZ79OQJVShUFd3TGrv5/UkYiI6C5YbojuorJGiRlfJyCvuBL+7rb4YDQnEBMR6TuWG6I7EEIgevspJGUWwN6qdgKxrcJc6lhERHQPLDdEd/D10Uxsib8MuQxYMb4HfFxaSB2JiIgagOWGqB7H0m9g8U+1E4hfGdwJ/fxdJU5EREQNxXJD9B9XC8rx3DcJqFEJPNrdE9MfaCd1JCIi0gDLDdG/VFQrMX1DAq6VVKGzpz3eG9UdMl6Uhsho8KrgpoHlhuj/E0LgtW0ncCKrEE42FlgTGQIbS04gJiIyNCw3RP/f2r8ysDUxC2ZyGVaO7wFvZxupIxGRlnAPrGlhuSEC8Nf5a1iy4wwA4LUhndHbz0XiRERE1FgsN2TyLt8ow6yNiVCqBJ4I9sL/evtIHYmIiJqA5YZMWllVDaZtSMDNsmp0b+2AJU904+5rIiIDx3JDJksIgVe+T8GZ7CK42FoibmIIrCzMpI5FRERNxHJDJuvTPy7il5RsmMtlWD0hBK0craWOREREWsByQybpQFoe3t2ZCgCIeawrevo6S5yIiJoDz3NjGlhuyORkXCvFnE1JEAIYe583Joa1kToSERFpEcsNmZSSyhpM2xCPoooaBLdxxOLhXTmBmMgE8F1uWlhuyGSoVAIvfpuMs7klcLNTIG5iCBTmnEBMRGRsWG7IZKzcfx67TuXC0kyOuMgQuNtbSR2JiIh0gOWGTMLu07lYtvssAOCN4V3Ro42TxImIiEhXWG7I6J3PK8ELW5IBAJH3t8XYnpxATERkzFhuyKgVVVRj2vp4lFTWoKevM6KHdZE6EhFJSIDHgpsClhsyWiqVwNzNybh4rRSeDlZYPaEHLMz4kiciMnbc0pPR+nDPWexLzYPCXI41kaFwsVVIHYmIJMIzPpgWlhsySr+dyMaKfecBALFPdEO31g4SJyIioubCckNGJy2nGC9+dxwA8HQfXzzRo7XEiYiIqDmx3JBRKSirwtT18SirUqJX+5aY/0gnqSMREVEzY7kho1GjVGH2piRk3ihDaydrrBzfA+acQExEZHK45SejsXRXGg6duwYri9oJxM4tLKWORER6hlcFNw0sN2QUfkzOwqd/XAQALB0ViC6t7CVOREREUmG5IYN3MqsQ835IAQDM6NcewwJbSZyIiPSNjNcFNyksN2TQrpdUYvqGBFRUq9DP3xUvD+oodSQiIpIYyw0ZrGqlCrM2JiGroBw+LW3w8dhgmMn5vzMiIlOnF+Vm1apV8PHxgZWVFcLCwnDs2LG7rv/dd9+hU6dOsLKyQrdu3bBjx45mSkr6ZMmOMzhy8TpaWJphzaRQONhYSB2JiIj0gOTlZsuWLYiKikJMTAwSExMRGBiIQYMGIS8vr971Dx8+jHHjxuHpp59GUlISRowYgREjRuDkyZPNnJyk9H3CFXz5VwYA4IPRQfB3t5M2EBER6Q2ZENIeGBcWFob77rsPK1euBACoVCp4e3tj9uzZePXVV29bf8yYMSgtLcUvv/yiXnb//fcjKCgIcXFx93y+oqIiODg4oLCwEPb22juiprJGifziSq09Ht1ZxrUy/O+rf1BVo8Kchzog6mF/qSMRkZ77NSUbMzcmItDbEavGB0sdx+hZmsvhZmel1cfU5O+3uVafWUNVVVVISEjA/Pnz1cvkcjkiIiJw5MiReu9z5MgRREVF1Vk2aNAgbN++vd71KysrUVn5f6WjqKio6cHrcepqEZ5YfVgnj031i+jshrkPdZA6BhEZkOOXC9Dn3f1SxzB6Pdo4YutzvSV7fknLzbVr16BUKuHu7l5nubu7O1JTU+u9T05OTr3r5+Tk1Lt+bGwsFi9erJ3AdyEDoDCX/FM+k9HT1xkfjgmCnBOIiagBerR1RNuWNsgprJA6ikmwkPjs8JKWm+Ywf/78Ont6ioqK4O3trfXnCW7jhLS3HtH64xIRUdN5Oljj4Mv9pY5BzUTScuPi4gIzMzPk5ubWWZ6bmwsPD4967+Ph4aHR+gqFAgqFQjuBiYiISO9Jut/I0tISISEh2Lt3r3qZSqXC3r17ER4eXu99wsPD66wPALt3777j+kRERGRaJP9YKioqCpMnT0ZoaCh69uyJ5cuXo7S0FFOmTAEATJo0CV5eXoiNjQUAPP/88+jXrx8++OADDB06FJs3b0Z8fDzWrFkj5Y9BREREekLycjNmzBjk5+cjOjoaOTk5CAoKws6dO9WThjMzMyGX/98Opl69emHjxo1YuHAhXnvtNXTo0AHbt29HQECAVD8CERER6RHJz3PT3HR1nhsiIiLSHU3+fvPYZSIiIjIqLDdERERkVFhuiIiIyKiw3BAREZFRYbkhIiIio8JyQ0REREaF5YaIiIiMCssNERERGRWWGyIiIjIqkl9+obndOiFzUVGRxEmIiIiooW793W7IhRVMrtwUFxcDALy9vSVOQkRERJoqLi6Gg4PDXdcxuWtLqVQqXL16FXZ2dpDJZFp97KKiInh7e+Py5cu8bpUOcZybB8e5eXCcmw/HunnoapyFECguLkarVq3qXFC7Pia350Yul6N169Y6fQ57e3u+cZoBx7l5cJybB8e5+XCsm4cuxvlee2xu4YRiIiIiMiosN0RERGRUWG60SKFQICYmBgqFQuooRo3j3Dw4zs2D49x8ONbNQx/G2eQmFBMREZFx454bIiIiMiosN0RERGRUWG6IiIjIqLDcEBERkVFhudGSVatWwcfHB1ZWVggLC8OxY8ekjmRQ/vjjDwwbNgytWrWCTCbD9u3b69wuhEB0dDQ8PT1hbW2NiIgInDt3rs46N27cwIQJE2Bvbw9HR0c8/fTTKCkpacafQv/Fxsbivvvug52dHdzc3DBixAikpaXVWaeiogIzZ85Ey5YtYWtri5EjRyI3N7fOOpmZmRg6dChsbGzg5uaGl19+GTU1Nc35o+i1Tz75BN27d1efxCw8PBy//fab+naOsW688847kMlkmDt3rnoZx1o7Fi1aBJlMVuerU6dO6tv1bpwFNdnmzZuFpaWlWLt2rTh16pSYOnWqcHR0FLm5uVJHMxg7duwQCxYsEFu3bhUAxLZt2+rc/s477wgHBwexfft2cfz4cfHYY48JX19fUV5erl5n8ODBIjAwUPz999/i0KFDws/PT4wbN66ZfxL9NmjQIPHll1+KkydPiuTkZDFkyBDRpk0bUVJSol5nxowZwtvbW+zdu1fEx8eL+++/X/Tq1Ut9e01NjQgICBAREREiKSlJ7NixQ7i4uIj58+dL8SPppZ9++kn8+uuv4uzZsyItLU289tprwsLCQpw8eVIIwTHWhWPHjgkfHx/RvXt38fzzz6uXc6y1IyYmRnTt2lVkZ2erv/Lz89W369s4s9xoQc+ePcXMmTPV3yuVStGqVSsRGxsrYSrD9d9yo1KphIeHh1i6dKl6WUFBgVAoFGLTpk1CCCFOnz4tAIh//vlHvc5vv/0mZDKZyMrKarbshiYvL08AEAcPHhRC1I6rhYWF+O6779TrnDlzRgAQR44cEULUFlG5XC5ycnLU63zyySfC3t5eVFZWNu8PYECcnJzE559/zjHWgeLiYtGhQwexe/du0a9fP3W54VhrT0xMjAgMDKz3Nn0cZ34s1URVVVVISEhARESEeplcLkdERASOHDkiYTLjkZ6ejpycnDpj7ODggLCwMPUYHzlyBI6OjggNDVWvExERAblcjqNHjzZ7ZkNRWFgIAHB2dgYAJCQkoLq6us5Yd+rUCW3atKkz1t26dYO7u7t6nUGDBqGoqAinTp1qxvSGQalUYvPmzSgtLUV4eDjHWAdmzpyJoUOH1hlTgK9nbTt37hxatWqFdu3aYcKECcjMzASgn+NschfO1LZr165BqVTW+YUBgLu7O1JTUyVKZVxycnIAoN4xvnVbTk4O3Nzc6txubm4OZ2dn9TpUl0qlwty5c9G7d28EBAQAqB1HS0tLODo61ln3v2Nd3+/i1m1U68SJEwgPD0dFRQVsbW2xbds2dOnSBcnJyRxjLdq8eTMSExPxzz//3HYbX8/aExYWhnXr1qFjx47Izs7G4sWL0bdvX5w8eVIvx5nlhshEzZw5EydPnsSff/4pdRSj1LFjRyQnJ6OwsBDff/89Jk+ejIMHD0ody6hcvnwZzz//PHbv3g0rKyup4xi1Rx55RP3v7t27IywsDG3btsW3334La2trCZPVjx9LNZGLiwvMzMxumxWem5sLDw8PiVIZl1vjeLcx9vDwQF5eXp3ba2pqcOPGDf4e6jFr1iz88ssv2L9/P1q3bq1e7uHhgaqqKhQUFNRZ/79jXd/v4tZtVMvS0hJ+fn4ICQlBbGwsAgMD8dFHH3GMtSghIQF5eXno0aMHzM3NYW5ujoMHD+Ljjz+Gubk53N3dOdY64ujoCH9/f5w/f14vX9MsN01kaWmJkJAQ7N27V71MpVJh7969CA8PlzCZ8fD19YWHh0edMS4qKsLRo0fVYxweHo6CggIkJCSo19m3bx9UKhXCwsKaPbO+EkJg1qxZ2LZtG/bt2wdfX986t4eEhMDCwqLOWKelpSEzM7POWJ84caJOmdy9ezfs7e3RpUuX5vlBDJBKpUJlZSXHWIseeughnDhxAsnJyeqv0NBQTJgwQf1vjrVulJSU4MKFC/D09NTP17TWpyiboM2bNwuFQiHWrVsnTp8+LaZNmyYcHR3rzAqnuysuLhZJSUkiKSlJABDLli0TSUlJ4tKlS0KI2kPBHR0dxY8//ihSUlLE8OHD6z0UPDg4WBw9elT8+eefokOHDjwU/D+effZZ4eDgIA4cOFDnkM6ysjL1OjNmzBBt2rQR+/btE/Hx8SI8PFyEh4erb791SOfAgQNFcnKy2Llzp3B1deWhs//y6quvioMHD4r09HSRkpIiXn31VSGTycTvv/8uhOAY69K/j5YSgmOtLS+++KI4cOCASE9PF3/99ZeIiIgQLi4uIi8vTwihf+PMcqMlK1asEG3atBGWlpaiZ8+e4u+//5Y6kkHZv3+/AHDb1+TJk4UQtYeDv/7668Ld3V0oFArx0EMPibS0tDqPcf36dTFu3Dhha2sr7O3txZQpU0RxcbEEP43+qm+MAYgvv/xSvU55ebl47rnnhJOTk7CxsRGPP/64yM7OrvM4GRkZ4pFHHhHW1tbCxcVFvPjii6K6urqZfxr99b///U+0bdtWWFpaCldXV/HQQw+pi40QHGNd+m+54Vhrx5gxY4Snp6ewtLQUXl5eYsyYMeL8+fPq2/VtnGVCCKH9/UFERERE0uCcGyIiIjIqLDdERERkVFhuiIiIyKiw3BAREZFRYbkhIiIio8JyQ0REREaF5YaIiIiMCssNETWLp556CiNGjGj25123bh1kMhlkMhnmzp2rs+fJyMhQP09QUJDOnoeI7o1XBSeiJpPJZHe9PSYmBh999BGkOmeovb090tLS0KJFC509h7e3N7Kzs/H+++9jz549OnseIro3lhsiarLs7Gz1v7ds2YLo6GikpaWpl9na2sLW1laKaABqy5eur/BsZmYGDw8PSX9OIqrFj6WIqMk8PDzUXw4ODuoycevL1tb2to+lHnzwQcyePRtz586Fk5MT3N3d8dlnn6G0tBRTpkyBnZ0d/Pz88Ntvv9V5rpMnT+KRRx6Bra0t3N3dERkZiWvXrmmc2cfHB2+99RYmTZoEW1tbtG3bFj/99BPy8/MxfPhw2Nraonv37oiPj1ff59KlSxg2bBicnJzQokULdO3aFTt27Gj0uBGRbrDcEJFkvvrqK7i4uODYsWOYPXs2nn32WTz55JPo1asXEhMTMXDgQERGRqKsrAwAUFBQgAEDBiA4OBjx8fHYuXMncnNzMXr06EY9/4cffojevXsjKSkJQ4cORWRkJCZNmoSJEyciMTER7du3x6RJk9Qfp82cOROVlZX4448/cOLECbz77rvcU0Okh1huiEgygYGBWLhwITp06ID58+fDysoKLi4umDp1Kjp06IDo6Ghcv34dKSkpAICVK1ciODgYS5YsQadOnRAcHIy1a9di//79OHv2rMbPP2TIEEyfPl39XEVFRbjvvvvw5JNPwt/fH/PmzcOZM2eQm5sLAMjMzETv3r3RrVs3tGvXDo8++igeeOABrY4JETUdyw0RSaZ79+7qf5uZmaFly5bo1q2bepm7uzsAIC8vDwBw/Phx7N+/Xz2Hx9bWFp06dQIAXLhwoUnPf+u57vb8c+bMwVtvvYXevXsjJiZGXbqISL+w3BCRZCwsLOp8L5PJ6iy7dRSWSqUCAJSUlGDYsGFITk6u83Xu3LlG7UGp77nu9vzPPPMMLl68iMjISJw4cQKhoaFYsWKFxs9LRLrFckNEBqNHjx44deoUfHx84OfnV+dLl4d5/5u3tzdmzJiBrVu34sUXX8Rnn33WLM9LRA3HckNEBmPmzJm4ceMGxo0bh3/++QcXLlzArl27MGXKFCiVSp0//9y5c7Fr1y6kp6cjMTER+/fvR+fOnXX+vESkGZYbIjIYrVq1wl9//QWlUomBAweiW7dumDt3LhwdHSGX635zplQqMXPmTHTu3BmDBw+Gv78/Vq9erfPnJSLNyIRUpwwlImoG69atw9y5c1FQUNAsz7do0SJs374dycnJzfJ8RHQ77rkhIqNXWFgIW1tbzJs3T2fPkZmZCVtbWyxZskRnz0FEDcM9N0Rk1IqLi9XnqXF0dISLi4tOnqempgYZGRkAAIVCAW9vb508DxHdG8sNERERGRV+LEVERERGheWGiIiIjArLDRERERkVlhsiIiIyKiw3REREZFRYboiIiMiosNwQERGRUWG5ISIiIqPCckNERERG5f8BuvjCYZILIe0AAAAASUVORK5CYII="
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 8
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "### 5\\. ``brainpy.inputs.wiener_process``"
   ],
   "id": "d534b100037dd17"
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "[brainpy.inputs.wiener_process()](../apis/inputs/generated/brainpy.inputs.wiener_process.rst) is used to generate the basic Wiener process $dW$, i.e. random numbers drawn from $N(0, \\sqrt{dt})$."
   ],
   "id": "8a858c54bb6b3a69"
  },
  {
   "cell_type": "code",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-10-06T04:10:40.370707Z",
     "start_time": "2025-10-06T04:10:39.973399Z"
    }
   },
   "source": [
    "duration = 200\n",
    "current6 = bp.inputs.wiener_process(duration, n=2, t_start=10., t_end=180.)\n",
    "show(current6, duration, 'Wiener Process')"
   ],
   "id": "79b6f11dd524df1c",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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ufydPnvSHqAQRtoTl1JiZjb5yHNg0E8i/YZ4MBBFAhPTUWIsWLfDHH3/wji1fvhwtWrQQzRMdHY3o6GijRSMIQgCyDvmBj1sABdeBzONA10lmS0MQphNUFqFr164hPT0d6enpAJzL49PT03HixAkATmvOwIEDXemfeOIJHDlyBC+++CL27duHjz/+GD/88AP+97//mSE+QRAyhKV1yN8UXHf+f3SduXIQRIAQVIrQ1q1b0aRJEzRp0gQAMGrUKDRp0gTjxo0DAJw9e9alFAFAlSpV8Pvvv2P58uVo1KgRpk6dis8//5yWzhMEYTIBoPGR9Y0gAATZ1Fj79u3BJD4ZhaJGt2/fHjt27DBQKoIg9IKmxgiC8DdBZREiCIIg9IK0ToIASBEiCMJk3K1AYeMjFAgNJfMbQQAgRYggCJMJBJ0gPAlDRejf74C/p5stBRFgkCJEEETAED5GigDQ/oL4Yp+8fAOjfkjHvgyVkf8XPg6seA04958hchHBCSlCBEEEDGQd8ifBqwgNmbcFC7afRs+P1msrIDdTV3mI4IYUIYIgCCKoOHDuGgAg3+YwWRIiFCBFiCCIgCEQZmtyC+zYcuwy7A4DzVOBYPkKhItNEAEAKUIEQRBujPhmB/rN3Ij3VxwwWxSDCWdFKJzbTnhCihBBFGK3mS0BEQCs2OvcqHnO+mPmCmI0ZBEiCACkCBEhzJXr+bhj6hp8sPKgfOKj64CJZZy7chOE4QTE3JjZAhBEQECKEBGyfLbuCI5cuI5pyxVMcSx8HGAOYOlo4wUjiEAgnC1C4dx2wgtShIiQxWaksytB+EJAxAkIcWXg8GqKF0QoghQhgggWVk0EZjQHclUGkQt0AkEnECLE9YSQtopcPAh82Rv4pIXZkhBBAClCRMjCAuKrW0fWTgEu7AO2fmG2JAQR2FyUmw4PYSWQUA0pQgQRbDhodVvwo4+SnpNvx5gFO7F6/3kNuUNYGQi1jyDCUEgRIoKakLP6GIUjcCPwsgCdG/O7msAYkLEbsOUpzjJr7WF8+89JDJ6zRX19oTw1Jkc4t53wghQhImhZ/O8Z3PbWSmw7fsVsUQKbs/8C71QGNs8yWxJCin+/A2a2Ar7sozjLmcwcHyoMM2WAPpoIEUgRIoKWp7/dgQtX8zB0/lbB8yHb76lt1y/DgbwsYMmLhohDaEDo4Sz0/Tr+t39kCDerSMh2CISvkCJEBD02e+BO+wQEAd7/B+r4xIWbokAQYQopQkTokZsNfPsg6l3602xJjIHG5xAgALS/sFP0AuCaEwEJKUKEvuRm+f0TnwP4df49Hdj/O+45Ot6vchBEcBFmihCvXwqzthOSkCJE6MfxjcDbFYFfRgievngtD2/+/h8OX7imY6UMn2MCMLdHUUd346KO5RMEQRChDClChH6snez8P/0rwdOjfvgXn607irs+0M8ZNBHXcCv2AMfXA9e0xFIpJIi+EM208OffAHZ85eO15hOoExaGzhwptZpunAF82x+wFwie5nx5bs2YGrtxGdg6B8gxY6VnoD5phNmQIkT4jfQTzs4vp8BusiRCUCepiGVjnKvQ5nRXnzfvKvDb/4Cj6/SXK+hQ+LwtexnY/wew6ycDZDBBEfpxEPDbSODHwf6v2135NEAJ/HTtYYxdtItimwUhEWYLQIQPenUPU5btw7qDYTz9Zabxau9i5/+XDqrPu+ZtYOts57/XsvSVK5i5dBi4fETaSlRwXf96zbAIHf3L+f+R1f6vm4f+bX/rj30AgHubpaFxWqLu5RPGQYoQEXTMWH3YbBF0Z+/ZbBw8fw09G5UzWxTjuHxE8HCgfkH7TU34sKl8Go3XaNIfe7Fy33ksGt4KcdGe3X0QTQerRuh6+ec5u5FPW+AEG6QIEUQA0O1953RR6eJRaFU9CTfybYiNCr/X0yefF8KLWWudyuePW09icKsq/JPhtnw+QBVuwnzIR4jwHwHdDwXGoLD3bDYmLN6DuuOWYcuxy8KJVF/HgL7wPAzZd8wegF/ofh6U7Q6h+gLjmfciN9tsCYgwgxQhIqhhgdqZ+8Cc9ccQjXwc+nmCcxPOEMdQleDwKmBiMrBtrpG1BCyJuIrXI+YgKXuP90kjLEJXzzn3ttPKgWXA22nAn2P1k8mFu7O0AcUTQQspQgQRgDwV8Qv6X53r3ITTk2DtxBVYQXSfGvvhEYDZgcXP6ltukPB65FwMjFiO3lse8k+FU2sCs9oC5/dpy7/sZef/Gz7UT6ZCaGqMEIEUIUJHgnWE1o9D56/hzd//w8VreT6V04A7Kn6S+nO/YOxeY/rcRDkRa3KnpHLrIoMgp/4xrmy15BauUKQXhxCGFCFCR6ij6f7BOny27ihe+NGH6QEj+f4hoCDHbClEMcRHKBDRyTrhUzGh7CztfmHergic32ueLETAQ4pQOJF50jlFcGG/8XXl6bmNhlrM6+DzbQ4AwL+nAjROzt7FwJYvzJaCB81YGAcnqVgGoiJkkEzb5gbFg3bs4nW0ensV5m04pq0Ah0NXecIFUoTCie8HODuETzsYVIFbJzapPFCQyzuruRu6fNQ5eNvUTze9H/kREuB/pcxvsXFWTwJmd/O61h7C8H+bsr2BSai8DwX2ooEkENUEXQlli5AXHPg9UGC2/bXFe3A6MwfjfxVwbpfj6Fqno3n6t/oLFuKQIhROFK7mMCJKLQAvVSfzhD6lftgM+H0UTi9+U3XeXtYNGB0RPB2Dar+Uv94GTmwAdv1ojEBeBOYAohffbNbnmQ0OjLyXGssOK+XMG5vdhw+ob/sD+deARU/oJ1CYQIoQYRxMnz3FuJvlnNi+XK5CMMbgGTIllQsDC4jdN+dsM3H3CzJ79uLQeX9ZD/3jLE3chOPMf7iIgIUUIUJHPHplxp+v9nW6SEnQ/Ke+3o6ft/NXythg9ane4EDNiEgDghjuSlkoKBmSPkKh0EBVGLvpKhG8kCJEGAfT13HPoWCwX7I7g+fnAQD2IHzMVQeKpI49vGAM+P05tD8/X5fiDp2/ioc+3ywezdxvGPUce5Zr3PuiOhaWlH8f4ReCb4QgggfdFSFtj6vdBIuQ6Hf41tlOp0a/EgAWIClrIBP8MzC5eAhYPh64ftG3cnydpjm3G9jyObqe+8y3cm7y6Nyt+PvQRfSbuVGX8gIOP06NqQoBcWQN8GYKsOYdw+Qh5Am/XR0J/+EHRUjJt1fAWISObwR++5/z79d8XF5//SJwfL3bAWMtQv8cvYyM7Fz01JJ5z0LgjxcAe77eYilA3eAnO1bOagMU3HDGpRnwg3ax1Kp8noLpEQvKzYp4NitwY0tpw7zd51Xx+3PO/9e8BbQfba4sYQwpQmGF5xJSgzFhakwIW6AoQjqtogMAfNaBX57BU2P3zXJaCronMvWdxo+D9BbHTwhc04Ibzv9Nj5ys7H6bNmFKU7UK4V+nsAkoGmAEyAhBhCQ6m6KFFCHpgHFO7EyfqbHz2bl49rsd2HZchR/FL8Nv7nfF9B0cfFGqfLgvDgOmF4Kz6/fzQO/57OhsXdN8W235wNIxwMEVusqjO55TY2Lv4uZPga/uDejo64T+kCJEqGJfRjae/W4Hjl9SEIvIc9WYj3XLOhCL9OZ6TY2NWbALv6SfQd9PbvpRHF0HHPlLPIMtH9jxFfDfIiDzuKq61F+r0PgC91sgymDD87r8NlLf4rVm3Dob2PQx8HVffQQx25K05AXg0HJgu3YndF82DtZ902FCEaQIEaro+dF6/JJ+Bo/O3SKf2Gv5vG91M3D4becZ3jFFFiGdHvPjl28U/SjIAebdBczviViIrfpw9wJ2AJy8HJq7QbMHEEIdWl8GxoDT24GLB7xO5dsc+GHLSZy6ckMgo0FknTS+jlNbgal1gN0/O3/nZGJMxNeoyx1TUYjK9yPvqrr0bqiZ3rJ7PAc0NWYOpAiFKbkFdmVWHQ8K99I6fMGZlzEGu2cEw0J09hHqbN2GSz88Aw5F5d5hSZfNV6CTKxyvK3UzncfCO5ih5nFOW7aArIUwgJ0/OP3DBPh07WG8+PNO3PFukZVS6V5jmi1xuivgAuV99yBw9Qzw06PO33++gscjfscf0S+rKDbwAipuO34FRy/6qLRePuJccRZO2+YYAClCYcrdH/6NdlPW+Bw3pP9nm9B28mqXgsTDoU9kaXceiViO9paind2nRs2UzaN12X1w4R+LkBG1/Hsy04BSb2IvKPo7V91KPakx/lqeDbtPm7Cx7r/fiJ76+5BzSX8rts25ubJsfBom8Jda/PDcefpDZezi/Vz+3zmFBflHEVI6vTVX68aq7sxs61xxVrgaldBEOIwQRCFuPfvBm1sJ/Jp+Riy1IjYduYzTmTnYJTQo6GwRKiQecpYsfkek16oxnz5+FTpLh+PU2LAvt7n+1v2j3X0QVfDVrLT6PDvDXR/+rU0mVTW5cemwc5pIhMIBeE7UFOfmyptmaJTNg/P7gPm9gBObBSrV+bnTUN7Q+eLXhAfv4ZKrx1+2WR+vX/7NKbwTm3wXJowhRYjQhdIHvgMOr+QfVKEIMcYweM4/eODTjbJmerWdh14BFX11ZNxzVqPfwe/POQOv6YVKbYMpWW0TKBxaAez6SfhcIE2NaJHlw6bOTTW9CxNOny33keM+NSaR7Ot+zudvdmfJMnBsvcB5PdDjmQvw55YwFVKEwhxP5zy7g+HtJfuwev95yXye42Hl9S95J3LYnSunFJBTYMfq/RdcFiZtCPfmiuIPKbHWqO1LPRSIGasPqyzgJls+d36RS2JcRy/qAxaIfNUX+HkIkOm7E2+wDJ1SfkBKFhPIkn1K/Jz7S7HpY17NAQWnMoaanx75IHqzQhpShAin4+8/nwFXjmPB9lOY+ddhDJ6jYFWYHF/3Bd6tAdiczsRSKyLUfCCLWoREClFkQfLBWiA02AhZtXw2g0sKIVG2j5YQs/Sg63k2vLfiAPZnaLCk3RDYAuP0Nu9jGjH0XorUKIa5KocfatfLCsl7D0JNBQkwxTPIIEWIAFZNBP54HviklQ/WGBFyM537IinACjvqcUdlnaw1D0K2POd2Dze0OYhz6k1CHr8CpbNSNwg4VPlW6MeUZfvx3oqD6PKe+r3ZbuQXPkNusv88RDafP2bPcgvsSD+VqXu5ZsxaZuXqvyDChS+bkXrdyEB59/jo2ycEZhuDAVKEQhxFy2IPr3L+n6/8y1vdK6cs9RsRs/F79CuI3/C2ZDrxzkOmrWsmObd7mNNdQETtjsxKLU7GjrE6d4L5N4A/XgSOrjUkmrQS/vVBWXj6ux0+12+UYvHm73sxe91RlbnEhdFl+ksj8zapCxTqxYYPgV9GuCkubu18MwXIPgtdnm21U2Oq96gz2cIU6L57AQ4pQiHM8v/Ooekby/HXgQvSCd1eYqXvs3rriPwG5A9GrAYAxG/7SLoc1TXfZPcC5/8X9motQR0+fJWq/lK8eT/OZecKhzIQrIQ5B6Hl47zP/T0d+GcWMO9u06bGfOFclg/WBAX4ckl+3KbFf0neD8i4sdDAQfbPscCOL4FjIivw0r/WqSKPOEJmKy430c0iFCDtCVZIEQphhs7fiis3CvDIbJkNIjUsczfz+0MsLtBWuZhIFt9Wj4kNNOJf5HxnabFUejkj7zmTheZvrUTPjxQu67502DkIrX/f+9zlI64/f/vXtxALajC/P9cuwIWreXj2ux3456hvsbnUYvi7KKFhMb2GkHyxkBisaKNbf+KHB5FsOIEDKUJhhcYpJQNo9fYq/JJ+WlNeMWmf+VZuOkRj12O3OXNzQBp3DpMjZglucaCVnzRZCDzh8MvNmFD7lDoXu8fYkej4X1qwS/Rc4OO/4ebVRbvxS/oZ3Ddro2Q656XW/50zY58q0VYoME/dyLfJ58vN1lERMq6fMz2SPE2N+QQpQoSmt5jjAORdg6JX2e0ljUIBKnAXcDozB89+l6663psFihyVkUXBXl9eLBkNvJ0GZJ4EBw5zIyfjvoi/gNldJLM5xzplztKbjxRZEDT3Z5IZPa5LoVzuebI8l0iLXMug63B9WQ0o1Vbvc0cvKt+yRk+/HjN9hHzhr/3uU/YibTgpY81WitcWGzf/3vwpsOgpwGFM8FetWBBY8oQ6pAgRmqbG6uAEMKk8pkZ+oirfoqhx+Dv6WTTj9quusxCxbl92jNaiCG2e6fwi3fAhAKCa5ayAPMosbUavGlNfuluOhY9LpiyJbHSw7ADHDFwl5IHq9rj7uplgHfHcQFMMvdUWcR8hzjgliTHgTDqKu204bNelKo9GKOyb7vpwHb7fcsI9o3S5hSx5wemHdGCpxwl/KZfecpVENnZEDwMWDfeTDAQpQgS0vPSPWX8FAPS1qttmoK7l+M186/gSqLBKaR7ktChChdjzfTaG8AI7urU3ynEDkyNmob3FfWpPbWU+CnfpEP+3x/34PfplzImagohcN/8XlXt3KSGYd992uPl6/XP0Mq7mFggn9FsT5SykPjwzh1YAn7bD0Ig/XIdW75dZlKEJZRdr9+lsjP5ZbgpXwlk6L1udWOIl+0x/62okcDeA9K90LJWQghShUCX/OhZFvYqnrQvk02pyllb/6vOj0WjvOsQjRRvY8TsKRGsVbYvU1JjbuY4Xv8F9EX9hbtQU5Su+vIRQ0zaBqTEZRbQcJ+AAvPZdFXX6ASXKNGP44u+jaPX2Kpy4pN33REgZdw8zcN+sjejz8QaRvPpqQqZMje1Z5HWowK59OqfAbsfS3We9rWp67Vcot/u8QfsiyiH8UaflfgbblHVgQYpQqLJ9PhpbDuO5SJF9l27CGJQNID7h/ZJafOi8zbEIFUgoG8oGYLE8ibai7UzWGPJVLYZ7e8TlE0XBJqYBB2N447f/cDozB+/+6T0968ur4DmIF25sLISiJ/jcnqK/NQkmUIv5y/IEWbjtFJ74ajuOX/Lws9JNXpkr7mM9pscRInyCFKFQ5ea2Fu4IvaqVr6UDmeqDoqlSRQQUCCvH/wJTF+pMH2dpu4PhsXlb8e4yBf5K9nx1bRZYGcT7lXkCQuhlLTh52c3aodBSoh7/df5/HxTYMsONbcev4P5ZSjb9LJI5krNLxpZRa0BU6m+r6FJ/0AT4pKWi8gqf+3Uy1wiMKdizTilyjVB38TYfvQQAyC3wvIh6PmMCztKunx71qnwfluzO8FmiQsi2439IEQpV1kzyOiQUr2bo4RH+kMaJe1gdH1ZFaO4a3Ue2VRPx77aNWLH3HD5afUg8TyH2Aok4QiJ47drulvKDxk4rk0GM+Ga7+EmhVWNa0EP+3GyMjvjWubUKPC9ZkXwzZO5R3082YOtxBRaqmxUUQy4mHOrr3KR186fAxhnA1NrocH6+IrHdn8HF/55Bx6lrFG9Po+j5dYvjJIf02ja32vKvAUf/UlyuZA06WECEHj8vu6Req7k4DhevSQXZZMKryhTytGzoDuUE6yrAYIYUoVDF5v3S+7qSxt3K4OtXi29TY8KPLec6L6axuOVbOwVNf++mvFK7Bh8hD7zkuhkfRbcVTm7FHFG0lFtqakwBO793/anZt2nl63gyYjF+j35FW37VONvZxrILcbZM4PBK58qhZS8D1zLQ5dxnqkt8+tsdOHxB+dJ5wKTl8wZP3xixUu/KjXz5RJ5cOgyc8VZM3l3qZvn11riEt94xEI7T890nO5IvBJ0iNGPGDFSuXBkxMTFo3rw5/vlHPM7E3LlzwXEc719MTIwfpQ1eyuEi8P3DwInNAIClu8+izeTVupVvNcAiZEgcoUIc4tYP93rbWv7FwqhxqIaTkJwa8wmBkjw6wphIBVG0VThLSzFpyV7UHLsEu06pW0WWW2DH0f90ihMDhQqBxnau2ncOW+QilyuEMRYQX/1Kl/v7E0/FwK7FIvRhU4Fo6RxOXhF3jmcOB3BC2LndKIQufwDekrAgqBSh77//HqNGjcL48eOxfft2NGrUCF26dMH58+dF88THx+Ps2bOuf8eP+7hJYJgwPepjYO+vwOzOAIDPPDaJVNeRyztLq+kAzHKWFttfzf3o/Kh30MRyCNMxlZ+IMXG5den9+GUXU6II8YXw+Klcpll/OadxJi/bp6rGeRuO4fxVb182Y1F/rc9m5eDRuVvRb2ZRxGgz4hSJoVWpOnRO3Jk7UOA8nsPH5m2FJnu0zKarb/3xn/oydUDYR4hWjfmboFKEpk2bhqFDh2Lw4MGoW7cuZs6cidjYWMyePVs0D8dxSE1Ndf1LSUnxo8SBjvgLl8bxlUuvVRFq37usU/jJWjT94eUjpIMiZKhFSKWzdAKuSi+f9wmx9hcdV68IaSRXe/yVs1m5XtfEF5VQ0dW9eU+UpC1Mcz5bX2VNWxvFc6mLf13EOZ+UUL1DACirZ8Xec9rrlvAByvHc7kPlx0kkBLYLEcJelE7ou0p2hqsgF7ghZJkkU5IvBI0ilJ+fj23btqFTp06uYxaLBZ06dcLGjeJ7+1y7dg2VKlVCWloaevXqhT179oimBYC8vDxkZ2fz/oUqUooDb4Ca3RVRzMfBYMloNLQcdv20+uQjpBUfFBHmULXpqneQX+9Uv+8SiFKtqHEKpsaifJ0aU3iVv+ytLJ1I9Yzp9yXLv8L67asXEO4XEg+GcguCd7pL1/L4KwwDDF8WVXiVpOoaqnhOfn8eB2MGojrnuU2NB4ueAt4oDax8w1kD8/44Ykyml5peF5hcBbgmPgtCqCdoFKGLFy/Cbrd7WXRSUlKQkSG8dLFWrVqYPXs2fvnlF3z11VdwOBxo2bIlTp0Sf2AnTZqEhIQE17+0tDRd2xFIKO7fT2xE+9wVvlXmEbnVcy8dNcvGxXafl22PhEVISf1ie09pdZYWioRbOOhqGK4BAHG4gS6WfxDLKXEyFXCWZp6rZ2Q4vU15WnfyCx3FlaFbEEJ/O2Gsmwrs+NpLBPW6lTFyN5u4guf718myzSmz3HUSOC+V4+K1PE0BFz2nxm4eVV0OOOlYP1oWb9zIt+HguavAFqeD/YiIRdIZ0m8+B+u0BSJljAE3nGEGcGITL+YS2YN8I8JsAYykRYsWaNGihet3y5YtUadOHcyaNQtvvPGGYJ4xY8Zg1KhRrt/Z2dkhowx5viyKLUIAIhnfWVhNVzRnwzEMlqlbrI86eO4qaiisx9CpMWcFwofF3A+U7j2lo8lhVuR0tLLuwfKr+wB0AA78CVwUiZPEswjBKe/cHs5d6Uuk6iaTIG+VRdNKYwS+iFV06Zs+ca4Q6j4FgFKFlHn8L06hT5iQAqxkmrMmdxJY+brzR5MBCmSTQPK6iJxL/wbRXLREPu82fB41FVgJoMKtQJW2N5Np9clxcvDcVdw5fS1urVwSP4pK4myDMvVKh6kxD4Vfy+KNztPX4tSVHBzTuP5GaNWY1KXeevwKbnVLqHmlJuFF0FiEkpKSYLVace7cOd7xc+fOITVVWacdGRmJJk2a4NAh8Zgk0dHRiI+P5/0LVdQ45Xm9sCry/rDV2wKntON5ZeFuWVkUY9gch7LVSoY62N5sWyurc+r3jpw/nce/6ScoC+//QgpuAMfXA6e2COxGrz93H58keeVkr9bSl5xf42p2KL/Z5smRn8omveHpN6KSBBR9sWfl+BpzSYOPUMF1lBXaGkUJV+UCBCp//7/5xxk8dMuxK6JpxPsT6Xq+inwTsZCKD1RERjY/HXMLomiF+s2ET11RFjdKLWLXItvnZ4gQI2gUoaioKDRr1gwrV650HXM4HFi5ciXP6iOF3W7Hrl27ULZsWaPEDHq0fGuVQaZMmR7BBME3RW87fhmD5vAHs8INLIWW+Ip1FD5ZhNyyXsuzIf1kJt86wbSoMeqdpa3H/sLCqHGoxZ2USKWPQnXxurvfFwM4N78igcjkRiB1TRLsV1ASzilVSYNIvprVT86CEjh5v5grNwrw6drDmvVnd5FvfZM/tcxxKt80ib2wlH6UbNVp+b9arlxXHgvI64NLZmqstXUPHrUuUVCyp12P4fH5W1y/vD7MJB6489m5OH9VXPlS87xontLiLIHhuxYiBI0iBACjRo3CZ599hnnz5mHv3r148skncf36dQwe7Jx4GThwIMaMGeNK//rrr+PPP//EkSNHsH37djz00EM4fvw4HnvsMbOaEFBIvUeeTqzeFqEitsQ8pbpudx+hvp9sxL8eMWg6Tf8LNhGfgm+j3kRXi4b4MwKKUAycA757h9Tzo7/Re8Z6LN7Jd2ZW4yztLFR9N/d11CQ0sRxCJYuUM6Tw4OAun1wf+Uv6af6moM5N54p+uylC4yPmyZSmM4dXAZ/fiS8uPogdMU94+ZOJoUghOKdumfRbfwiHBFA2CVd0FzynMcwIqPjo3C3yiWQ4l52LNfvPq5rCXJR+RnN9wm3jHyvNKVjQwnFeZa3eVzS7IPWMXcsrsgzmH1iJ/pPm47Y3V3qlcwV0FRBZ6fViTFxJ5hVx4xI43gcAaUW+EFQ+Qvfffz8uXLiAcePGISMjA40bN8bSpUtdDtQnTpyAxVI02F25cgVDhw5FRkYGSpYsiWbNmmHDhg2oW7euWU0IKKR9hGQzK0aoLLnB7ciF6zggEedkZtR7qJz7jXIhAEFFKD16GOrmzeFpOUcuXEcUCrB703L0dM8u6iytDLEVUrqsnFK5+/zbS/YhindnPO6SmyI0OGKZT6JJSyKwfP7Le3jHImFzHnfYnRu9Fk/iFyLW9gMCcs/uDEDlc6ORQIo1pBctJq2EgwHra+SgvMc5X9qrdPm8ENHQEH0a/D4oQqQ/mrfhGMb/ugfv9G2A+yteRdQ3fbAyGqr7njNZuV7Xy0lRy3Py7bis1Hr269Oo5vaTocinjVBPUClCADBixAiMGCG8P9aaNWt4v6dPn47p06f7QargY4R1IRI4ddsCuOPrK6dklYY/3usYrsDZkXqI817kDHQ/y7c6qVs+72Fh8foVYORf439y2v0d6NDJ7tNZvA6ex1d9gCNrgKGrgPLN3E4UOjUXyf9oxB/AN38bJab/kZwa01ik0pz2osG5OLuBq4jFhatiA7savE2YSqbGmMcnSQynxHeG409/eUT3juU8n3fnufG/On3uRv+8C/f3L/ows8IOO4RDVAj1E3a7UB/Bp8kbfyK3wIGuWkZlUoJ8Iqimxgj9eD7yRwyN+EP0vFwnqWYprFBJFoU+Empeb8kpArvNua+UAELL8btbPafemPqpMV52o9UgT+GUhAPwSHPGbaNWk3yEnv0uXTzxkTUAgENLPsT05Qcky+1r1U8JEt4clH+wGncaD1mXI0I0sJ6P91+XOEKe+dQj3j4Npbu1SauzNADEKLEIbZ2D5dEvun5m5eTzPsaKQ53j8/7oRzAy4idVeXjsWYgSBRd5z1FugbNPJZXG/5AiRChCykdIEZxnfv0VA0mZBDZhdEfJHL7Y1JhEobJJvtp0XEOMHOGQtIqlE4uunO9mIQwAZ2kxth27gvdXHiw64FrmroxnrT8rrkvpwL8y+gVMjJyDgdblrmPubfP9edewakwOBRlPeezPVfTRoK49w6yLsSRqtMdRDcq6AIoUoawTvJ8nr9zgTY3FcspWnhUSwTkwMmIB75iqe/zjILxy9GGRkyI+QnJl0kZlmiFFKAxoaXEuQVcz6Ojp3yDUQSh1gNXCgAi+5YcD8910fHobGudsFjwlVHIidw34tL3bEWHT+NhFu3HystpluL53eIJXw336xU9TY0pa4vn8eP7OtzPB42L8L1KZItTPugaHYgaixLHlsmkLaWwpCs3h/g5pCdjHQ+Eg18IiFTlfvQyt31ktWILwai5xXo78FnUsnish5S1CnMSUYCHRcJsaUyiXw8F49yTOcwm+YDn6Khoxjhz9SiQdyCdIEQoDumlZYeWBL++ZUCenRNFSq7tID4TShSlRy56/9Kq6eq+6rZbRtPxeDepL95LbhC9KJVfFU4nwlPuROb6vhhJiys1YQxX/HAKA75Sr9m56ylxcYeybIpRNjc2KnKZHkRB/nqTabcQTrsAi5B5FXakixPjXLUJDHCFPCp+J5APfAktG6/4+SVmtGcfBfc2FYqdrAgApQmGBTcSpTwq5V1iNGVjdxIVHXh36VgZOtnpfgpVp99Fw5tNFReI4r2v1gfv0EQ8RC4qCr2+9UaQQgynSxI2YbnVnQsRcVendpXFX5ixw4LXI+eoql2ya+0nlz9J1DQEji+6X7xYTYUdojzQKauFPjSlVhBw8q7TXs/P3NM2KTNVNrwCbZwLH5P3UhJ5/TeE4PM7lFPiu2IUTpAiFAWJ7c/kPrYqCb1/d/JPi14AD87njSMYVvB/5kUQKpj6Ing9YwDBNwqFYeKmtGRYheTgw/OMWDNApelFOfy1TfyBijWwad1nEfITiVDrmylFYy2PW3xEvESjS8yrZHfreb7WKqJL3QUmJPEVI49SYoOxuEcuVfJB5lZGbJZxQI8xAd4Jwx+wRkvADdg232Tu+i//XMui6ItTXfcZkmBz5KXpZN4gn0NHnQDiqrR6mMzMUIfn74tkyDg7eoFMYh8nIJ/TzyCmq0pfFJUyJnKWfABLWumTuCgBgbOTXomn0QkrZUe8H5a6IeP+llGje8nllMtgZ87DSCeTLv+r608pxgu/HPZZ1iuoTWxAhbBESRq1fFqEcUoRCkFwP64ZDQ+ditLO0EcQiTyIKsnHDJAeGKtxZRen04Ea+gPVKg9boJY/s/lLKWfHfOYz4Zjuyc6WnHLU4SwPCA1cZLlOhdOrpZJVedVgIB4bq3Cl8HPU+almK9mvzfXGA+JV6J/IzH8vWB9VPoFuTxN8NwdgFPuNw8OMICdfv5uwusrPy9KhPJGopSq/G+iZ+LcgiZBRBF1CRkGfmX4cx0u23HkqNL8vnhSdhlJWgZnrsqYhfcKd1u9dxDgyY30uiDt96Vk5RGcKrxjRhlF655AXdinps/lYAQGp8DMZKpFP2HHg6S/OvNwMQj+tYFf28ajmFaMwdQjqrrihtjodS2tO6ET2tG73S+fwGSlgDKnHnRM/pT6F/mTe8d0ClYs5c//t4pVRNjblvuiqjZGgR6/R24NBK4I5X0feTbRBSpZVI+8HKg1i57zyGNKc9Mo2CFKEQZNvxK7zfWqbG9IQDA1MT50YjlUUGhCjYgBzjNpzk/DxxGFEgtLeSCgnE4ggZwPmr0svwta4as/AUIQ7VOO37WXnyUdQHaJ33gaK043/drSxdxHwAfX2QSmLFkOKPCn4ZWvRp6TVjKn2EDNHolZXJlEyNce4WIfkyBR2uASA3E1du9ANiFInmRaGv34/WfN6WP+7QpJlv0NRYGFA0NWbedNdBiX3DxOtQh9gUoJExi4CbipCM4+fkJXsF8wHqO7G4y7sEhOBQIftfVeX4a8pSCi1TY07Fk39My/SvHvy8/bSidPcrcLSWxED/kObcXnwd+SaqcfJtKbKc6GHhLCqjHDsvWKbqTwyF18nuYLzo9hZOuo+w+uKweGG/6Ck17bPbxBd0MHAocNvGQ82muARZhMICLavG9PYRysjKQU2Vq/jV9j3iipB0p6BHS+WUipX7zqGUbpdUuKD+e4apKqUiJ7XDvT7IfUkrWz4v/ZvB/ysjddkoV12NGs7wEXtGv49+AwAwi5vuOpZrsyNaYDDdHvME7s6biBOXb6Chx/vMqf3gcCt/hONrZFkVWnMkW6zcWdpdXuGPJQ8fIRnlQq8+U+w+SW1LlJ1TgMgCO6Jofw5NkCIUBjiY2VNj/lp1JlyH0ZYPpS0zVg4119cpx+dRU40RxQ25HbG1WoQ8By49LULGW8r0Ll+ftheuPgOAF3/aichDdQTTvRn5BU6yMrpL8UrkN9jh8PDNUvA1xFNKFVpCjl24xpNXzkfIqD1NVa0akyjnRoEDCbpIFJ74NELm5qqNjkr4A8++IBhXjQ23LnLueq1CDL2mxupxx1SlF5qq8U4jnK+LZQtutYibzoVgQqEAAuBLsEbeHuDXp4Ebl1EK2Vgc9TLaXF4gmUebRYifi/ndS8utbn9NQUgsn1cqwVdRkyTPu1/Bu60b8fP2U4LpxCysat8z4YjzvqKshGV7zvHql/URUuAkZLQCnei4Ip+I0IRqRcjhcOCNN95A+fLlERcXhyNHjgAAXn31VXzxxRe6C0j4zimBrzdRRDp2z6kAo1/6FyJ/QOLOOap8I8QUIbkuzLMtv0e/rLjOwvxKhuG3I/jLnNO4C5gVNR3VLPJL7z1r9BUjvnDHnf8fsH0+sPQlPBOxAA0sx9Dn3PtyksiW6znlwoE/6DonOfw8NaY5I0MZTn2gvQuCsaPUUc9yXHFaodWXhVhEnnf3Y6v3X8DFa3L71clfRc9QIHLY7MrScxzzUIQElLjNRXGgrCLL5/3JI9c+Fz9JLkE+obr3mDhxIubOnYvJkycjKirKdbx+/fr4/HOJG0WYRh4iFaetenktSiHb673y/K1u+TzT9MUedek/VenF6jDaWVpJHRwYKlou8I6lclpXsvm+xNhQQ8bFg4iFsk1b3cV4xipsPfJurfedNmtqTPVlXPEaVkarD1OQeUN87yi9lEClbRF71t2PL9xxGsNuhlAQr1CJIqTu3Z29/pjitO5PjKBFaP8fRWk5DnCo35JEDXG4gZ+iXsMQ6xLB86XtF0Xz2hwUY8gXVL9B8+fPx6effooBAwbAai3ylmvUqBH27dunq3CENjydCdWsTuq973n8ET3G+8TNXqMMriAZ+ppoa3InEY/rgufUDEpanaV9hYN6qxOgfQATbI2KJgbSx6O7SjMq8ifBNB9FfYCS4IcMCJRVY6o4vApY/562vFIbbmor0QulV9DiEdm7KD//2PYTmUBBDppz3ismxeqT+2BKxhXJj7Tf/lW2is9Zf1FOOR+hO9hGYPGzsmU241ROc7u19yHrCtxiOeARKbsIh0R0fK+dAALpJQ8CVDtLnz59GtWrewcbczgcKCjQvnElETikcleQxYrzjjEGWGHHlpjhAIC19gaKy5NUZs7swJ/Ro3GWlfLOx6m1fWhzlvZ9mk/eR0gIzYO3j/Na/53JMsz5sxClFkAl6W6z7OdtH+Hpk2WGj1BhfaomTL68R3N9mw5fRA3NuYXRes3EpsYEPzh+HIzvo4UtHErwrIm307wASlsUgzzcbSkKfCn3/k62vytbJgfgpchvFUrg5HZLkZIoZ1WW2o4mEEJhBDOqFaG6deti3bp1qFSpEu/4Tz/9hCZNmugmGOEDzNMipEORAG+6o61VIJaNCMJOkTelOurcq6es6DSR7xYh2aixPsKBeeyALZTGG+1WDN+mQnacuIJTBTmaA7zJo3+nXIErmla0aFQ8jcBfUlzPt4n21v5WAsWnxgSuxgFxJUiyXxDBAU70ohdHDl65MUMyfyGvRcxHZUtRAFaj+wgl5CBa8nxQWD2DFNWK0Lhx4/DII4/g9OnTcDgcWLBgAfbv34/58+fjt99+M0JGQi1eipD6SMJ+M7UmlBeXQWWdYlNNUvE3iupSbX5y8aB1FUpwcjuKe8vwoeRu9RIl+bhzvM6bjvtEV8sWRekiUOQE63SW5luEHrKu0E0mVe9JAFzL0txV+UQ6IqaIKtlNnoeGiycUv6mi5QLmR07CblYFt9nFnbzdcVeCAP38CH1RVW7IfJlIWYTMWjUZKqj+tOzVqxcWL16MFStWoHjx4hg3bhz27t2LxYsX48477zRCRkI1+vfOZ7K0r1qRnD6wSDtyq4+OI1SGnCOzhk7cjQcjVmnKJ688BSkqBjgxfwhPrDxFyHNqDBgcsUxxnXrg74FHzgKmZNNfvRBTGtxlvNO6TUFJCj5QPK6z2MdOW+suNLMcUFCnMHooQr72ujlM2iIk/AHkDilDWtEUULFNmzZYvny53rIQOuE5DmnZysHbIZFDDU44rogckp24RSrcNFNkzSlE1CIUANMo+k7lhF+H5z510cW6FVNt/Vy/9b4agTLt5k4gPMOFWDgGTkDZdVcm7rZuwtMFz/hcl2ctUgqLL8qMHtfXuWhCe2ykftY1kuelLELqaiI8ob3GQhChgeFank3VgFHHctLr2ILo13STp+ik9CPY7+qXmup0JxDm//Xk0nUBf6RAmKO5yfHLN3Qvs4HlGO/3gqjxrr/1VlyUlFeKy8asyGnoYNmha91iyMmUx5SHyPAV0S0gVN8H7/S3yFh1pCy3vigzVpm9xpRwl3WT4PHrecqW3bexem/g63Cbx76Soy6mEqEc1RYhi8UiGTbfrjCgFWEc3lsSAPXHL8OxGPNW9Xn7HDl/bzt+Gc1Ec3Hofe17xXWIbSWiJMaP0ehptaiZvVE+kQRGt7dS3gFUitA+TaGEOM64qPZKBtR4LgddrFvRxboVlXO/MUyWQrSEZzAKsevTzHJQVTlCViWtdQNAItRv7FxUrl4+Qt7yxWUdwF0Wbe+s3e0ayTlLx4fqVLsfUK0ILVy4kPe7oKAAO3bswLx58zBhwgTdBCO0w7xeanOtBVJfcTPXHMJnUcLn1G5fIO4jZKyztBICcbolVND/2gbevZINAaHDs6v0OpblLiPGIr1KEgDay1rL1F9nKxyiudRHaC/C6KnHj6I+1JTP4dYHXkWsaLqqlgxN5RNOVCtCvXr18jp27733ol69evj+++8xZMgQXQQjAov+Vm0OwQDwXdREr2MtrP8BBfoOYuLL56XrqMadQfGg/5oKvME7WHE+RcF2PTWswPJB8y/JyVtf5kZN0Vx+IZ4yGhUl3t0Z350oFCBfRWR+vXEPGL3FURvdrMpWWRLq0M1H6Pbbb8fKlSv1Ko7wAaHdun2lseWwz2V40pQ7INMVq5O7ieWQ4HE5H6GF0eNRSkHH7guBZBEKNQuK3u1J4rKxKXqErmX6ilwbtVg0iiMHT1kXaZTIdzgFiphnu53t1N90W4bLFjz+csTXgsfF0FsyO2OwwIFo5AdUHxJq6KII5eTk4IMPPkD58uIxYQg/EiTvS23LSUgKq7IdxTmx/a3MvyChvM6LA/Pr8m1/kMpdMVsEVWgZJDtZd+DFyB8MkEYZNXbJR2v2xAIHTl/R3xlfjIFWc1dH220FWBn1HH6PehlRMHavs3BG9dRYyZIlec7SjDFcvXoVsbGx+Oqrr3QVjtCK/pGljUCu89YrVkuorRoThJnXRgsYVkc/Z1r94fClLDclFEjL65VS/qjw3nLuePYAFjBk5xb4bb2zhWNYF/Ws4vR6P4vsxhVUuRn8sQE7omvZRBGqFaHp06fzFCGLxYIyZcqgefPmKFmypK7CEfoQqANFbe4EdjDvfesK2Xc2C7dL5JcLlFhIIChCRt+DXScvQ+nub3orxmYPwoGq6PsTI5+vjfa6Tp++AMACh9+DWaZZLsgnMogCt1XYctv4uBNA0TSCAtWK0KBBgwwQg9CX4HgLHo5YgYchvjXC2excQCLe4gCrMp+0QFUE9WTGqgOYKbL6zmjC4fqaTYSJISCuophhZaslkPaZE0Zf2fJtRfc9QsShm/AdRYrQzp07FRfYsGFDzcIQ+uC5Wj2wOw7t3Gv9S1G6QGi/0TKY2UmafX3vta41tX5/0MriHWzPHSOsnhwcYLCYanHzdpY237rrT/JtRe91JClChqFIEWrcuDE4jpON68JxHAVUDAjMH/j9gdIOWihia6ghtvzXH+g5OJVGluo890es0a3+QMVzk1BPZkR+oHudf0c/i/X2+jCzP6lkOc/7bTVhasxMCtwUoQhOubM0C5MxQC8UKUJHjx41Wg5CRzwjtoZqtxFuX4dSmOkHpaeP0LaYJ3UrK5yoYTmte5nluUu4L+IvrLA30b1srXhuuBto6N3Xuk+NkUXIOBQpQpUqVTJaDkJHHJ6KkA87qwcywaTgGd15q9krSW9ZzHaWJowlkN6zQH/W9H63+FNjKixCgX2ZAg5Nu88DwH///YcTJ04gP5/vyd6zZ0+fhSJ8I5C/mNQgu61AiLRTDwZa/zStbqWr94jAJhjeJyvnQHEYt8+cr+h9Dd1XjanxAwz8OxlYqFaEjhw5gnvuuQe7du3i+Q0VLqknH6HAIxg6OCHkvv4C6UtVDqPvgefu7NLoK8u66JG6lkcEFoHUf3BgPu0pZjR690kFtGrML6gOS/Xss8+iSpUqOH/+PGJjY7Fnzx6sXbsWt9xyC9asWWOAiIRamEdwPQsY+lnXmCKLLwTCrvF6EUhK24MRq3UtL4HzX6Rfwv/cYU03WwQXge4XqHefZHfbbExVZOn867rKEeqotght3LgRq1atQlJSEiwWCywWC1q3bo1JkybhmWeewY4dcjsOE0bj+Sr2sa5Dc8s+U2TxBTNjpxAEEXgEQnBUKSpx0qv71LJy83a0u/l3BKfcIsTlXgGQrKssoYxqi5DdbkeJEiUAAElJSThz5gwAp0P1/v379ZWO0IaHp1xjTngz0kBHbkl4MClCXQNs1+h63DGzRSAI1QS6s3Qcp6//0v8ujHP9HaHGIsQFkg068FFtEapfvz7+/fdfVKlSBc2bN8fkyZMRFRWFTz/9FFWrVjVCRsJH7LACQbhhn9zXXy3LKT9J4jtDIpaYLQKP36NfNlsEglBNMH386EFJ7prrbzVTY7RqTB2qFaGxY8fi+nXn/OPrr7+Ou+66C23atEHp0qXx/fff6y4goR7PzsLmrx0KdSbcOj2CIKRRs4Q81FDnLE19pxoUK0K33HILHnvsMTz44IOIj48HAFSvXh379u3D5cuXvXalJ0zE43PALrVhVwBDTxNB+I9geN/CeeWUOiUwGO5m4KDYVNCoUSO8+OKLKFu2LAYOHMhbIVaqVClSggIIz/Dq7ubVYIIsQr4RhQKzRSCCiGB438JZEVLjKB5O25DogWJF6IsvvkBGRgZmzJiBEydOoGPHjqhevTreeustnD6tf3h3wgcCvz9TRDB0zIHMZ5FTzRYhLKjAXTBbhLAhnLeZsKrYIYB6TnWoch6JjY3FoEGDsGbNGhw4cAAPPPAAZs2ahcqVK6NHjx5YsGCBUXISqgjsJaZKIUXIN9pZd5otQliwMup5s0UIG1K4K2aLEBSQs7Q6NHvRVqtWDRMnTsSxY8fw7bffYtOmTejXr5+eshEaCZWXgBQhIhiI5kJjCjIY3rcXI2lBDqE/mvcaA4A1a9Zgzpw5+PnnnxEREYGhQ4fqJRfhC6GiCREE4TfIqyR0oBFAHaoVoVOnTmHu3LmYO3cujhw5gjZt2uDjjz9Gv379UKxYMSNkJMIU6pgJgiDUQ87S6lCsCP3www+YPXs2Vq5cieTkZDzyyCN49NFHUb16dSPlI7TAQsNHKNCjyBJEaEHvGxGeKFaEHnroIfTo0QMLFy5E9+7dYbEEZ5A+InjgVKySIAiCIJyQd4Q6FCtCp06dQnIybeIWHITGWxAMzpsEESpEc+EbtTn0CI1ZAX+h2KxDSlAQESL6Q3PLPrNFIAiCCD7IJKQKmt8KQco7gmczUoIgCEJfSA9SBylCIciwnNlmi0AQBEGYBWlCqiBFiCAIgiCIsEW1IlS1alVcunTJ63hmZiaqVq2qi1CEb9iCdLd5giAIQgfIIqQK1YrQsWPHYLd7b3yXl5dHm68GCDbOp4DhBEEQRBDDaNWYKhSPmL/++qvr72XLliEhIcH12263Y+XKlahcubKuwhHaIIsQQRBEGEMWIVUoVoR69+4NAOA4Do888gjvXGRkJCpXroypU6fqKhyhDbtvW8gRBEEQQQzpQepQPGI6HE5TW5UqVbBlyxYkJSUZJhThG2QRIgginLnI4pHEZZsthomQJqQG1aaDo0ePGiEHoSOkCBEEEc5cZzGkCBGK0TSHsnLlSqxcuRLnz593WYoKmT3b2Bg2M2bMwJQpU5CRkYFGjRrhww8/xG233Saa/scff8Srr76KY8eOoUaNGnjnnXfQvXt3Q2U0mxsoZrYIBEEQphHuu68zBylCalC9amzChAno3LkzVq5ciYsXL+LKlSu8f0by/fffY9SoURg/fjy2b9+ORo0aoUuXLjh//rxg+g0bNqB///4YMmQIduzYgd69e6N3797YvXu3oXKazU5LXbNFIAiCMI1wVwPCvf1q4RhT51ZVtmxZTJ48GQ8//LBRMonSvHlz3Hrrrfjoo48AOP2W0tLS8PTTT+Oll17ySn///ffj+vXr+O2331zHbr/9djRu3BgzZ85UVGd2djYSEhKQlZWF+Ph4fRpiMFPeHI0XCpS1jyAIItQ44khFVUuG2WKYxu57/0L9+o3NFsN0lI7fqqfG8vPz0bJlS5+E00J+fj62bduGMWPGuI5ZLBZ06tQJGzduFMyzceNGjBo1inesS5cuWLRokWg9eXl5yMvLc/3OzjZmnnnjvFdQ+uSfhpT9gu2AIeUSBEEEA+E+NVbhx+44sKi82WKo4tqtz6BpF/8bWAANitBjjz2Gb775Bq+++qoR8ohy8eJF2O12pKSk8I6npKRg3z7hXcozMjIE02dkiH8pTJo0CRMmTPBdYBks2SdRkxQWgiAIQmcSuetIDLLxZXO2sIuLP1CtCOXm5uLTTz/FihUr0LBhQ0RGRvLOT5s2TTfhzGDMmDE8K1J2djbS0tJ0ryf5juH495z+Tts5J3bi9mMzdC+XIAgiWHCE+Taa+7hqyGvzotliqKJS9Wam1a1aEdq5cycaN24MAF5OxxxnnDkyKSkJVqsV586d4x0/d+4cUlNTBfOkpqaqSg8A0dHRiI6O9l1gGarUaw7Ua657ubvXFwdIESIIIowJd2fhK8UqosUdD5gtRtCgWhFavXq1EXLIEhUVhWbNmmHlypWuKNcOhwMrV67EiBEjBPO0aNECK1euxMiRI13Hli9fjhYtWvhBYnPgOIohRBBEeBPuPkII+/arQ7P98NChQ1i2bBlycnIAACoXn2li1KhR+OyzzzBv3jzs3bsXTz75JK5fv47BgwcDAAYOHMhzpn722WexdOlSTJ06Ffv27cNrr72GrVu3iipOIYGBVjmCIIhgIOwVoTBvvlpUW4QuXbqE++67D6tXrwbHcTh48CCqVq2KIUOGoGTJkobuN3b//ffjwoULGDduHDIyMtC4cWMsXbrU5RB94sQJWCxFul3Lli3xzTffYOzYsXj55ZdRo0YNLFq0CPXr1zdMRvOhN4AgiPAm3KfGaBRQh2pF6H//+x8iIyNx4sQJ1KlTx3X8/vvvx6hRowzfeHXEiBGiFp01a9Z4HevXrx/69etnqEyBBGcJbydBgiCIsFcFaGZAFaoVoT///BPLli1DhQoVeMdr1KiB48eP6yYYoRGOFCGCIMKbcJ8aC+/Wq0f1qHn9+nXExsZ6Hb98+bJfVlsR0nAWegUIgggt8pm6RSDhPjVGFiF1qFaE2rRpg/nz57t+cxwHh8OByZMno0OHDroKR2iBLEIEQYQW21lNVenJIhTe7VeL6qmxyZMno2PHjti6dSvy8/Px4osvYs+ePbh8+TLWr19vhIyECshHiCCIUOM0K60qfbhbhMK9/WpRPWrWr18fBw4cQOvWrdGrVy9cv34dffr0wY4dO1CtWjUjZCRUQV8CBEGEDnNsXfCNraOqPOEeWdrI4MahiCqLUEFBAbp27YqZM2filVdeMUomwgc4cpYmCCKEmGB7BA25w2aLEVSQGqQOVaNmZGQkdu7caZQshB7QlwBBEGFO2E8N0TigCtXmg4ceeghffPGFEbIQOmChLTYIgghzwkENmGe7U/RcuDuLq0W1s7TNZsPs2bOxYsUKNGvWDMWLF+edD/bd54MeWj5PEESIwam08ahNbzbf2jqgf4S6fTwPsgqi58ggpA7VitDu3bvRtGlTAMCBAwd458hBKxCge2A0RxypqGrJMFsMgiBCgEH5L6Aid17XMmkUUIcqRchut2PChAlo0KABSpYsaZRMhC/Q8nnDKVD//UAQhB8JLosQBzvUuzRITn+RUUIVqkZNq9WKzp07IzMz0yBxCF+hVWPGY9PQaREEQQjBwMGu+3J/UoTUoCmO0JEjR4yQhdABCqhoPKQIBS/7HGlmi0D4gWBSAxigSRGSsggFU/sDAdVXf+LEiXj++efx22+/4ezZs8jOzub9I8yFQqsbj1mKUBaLxb+OqqbUHQqccJQJqgmTQCKXRZotgiqCaWqMgYOdaVGEJKCpMVWodnbo3r07AKBnz54852jGGDiOg91u1086QjVkETIe/c3Yylhkb4VzrCQaWcgiqxUaHrTxbMEIzIqabrYYigmm+8zA6f5xFUztDwRUK0KrV6tb4kf4GfoSMJxwD99PhB95MNciFMq9GgPwH6ukIZ/4VYkvFlwWPLNRrQi1a9fOCDkInSBnaeNhzJxumYKk+YaFYxRyWCP5QbZSMtimxg5JxASSyidG1TJxvogUdqh+uteuXSt5vm3btpqFIXSAFCHDcZikkNS2nMQFe6IpdQux3N4Md1q3mS2GYixwmC1C0FLAgksRCia0fuBIqXoWmhlQheqnu3379l7H3H2FyEfIXCiopfGYpQjdxu3DOjTwa53nWSKSuUy/1mkUliCyEgQawRc7i+41oRzV5oMrV67w/p0/fx5Lly7Frbfeij///NMIGQkVcBZa2m004TRFdVveDLNF0A0rHDQ8asTMqbGn2ldTnSeY3lDtFiEKqKgXqp/uhIQEr2N33nknoqKiMGrUKGzbFjym8lCEls8bj1mrxgAzfB9C53miqTHtmGkR4jj1Vtig8hEyyeeQKEK3Hj0lJQX79+/XqzhCK7R83nACedXYU/nP+K2u4BlqnFjCypanL2ZNBxeym1URPO4IASUi2N6jUES1mr9z507eb8YYzp49i7fffhuNGzfWSy5CI7RqzHjMGhSUdJiZoNUiYljJIhS0OGDBGwUP4dXIrxSlDyqLkCH9SfAriP5EtSLUuHFjcBwHxvgP2u23347Zs2frJhihDXKW9gfmXWO5Dj6QrVVmE0yDY6ARCLY0IRnE7qj50irHkKeSxgFVqFaEjh49yvttsVhQpkwZxMTE6CYUoR3OQi+A0Zg9TSCFP6cKAvcqCEM+QtoJBEVICKdc3qqEmNLrYJwznlQAEajXNpxQrQhVqqQ+AibhR2jVmOGY5SytpMP0r5IWWAOKHDQ1ph0G4DKLQynumuF1rbE3Qnvrv4rSir0TYsd/dbRAb+sGzbIZASlC5qO4R1+1ahXq1q0ruLFqVlYW6tWrh3Xr1ukqHKEejqZGDMes4Z8pWBNInao4NDWmHQYOn9nu8lNdfKSeevGpsXC/19QPqEHxqPnee+9h6NChiI+P9zqXkJCAxx9/HNOmTdNVOEI9NDVmPCxAlc0V9ibI9+OeUIE62Fxmwg7jFFBRO/5UsMX83ITunpRcP9tbex0Lm96RfIRUobhH//fff9G1a1fR8507d6YYQgEAx9HUmBYmFfRXnNZMHyEp5eOxghf8OtQHalebKaII0dSYdvz5XInVpVYZe67gKQzMH807Foh+YmTFNR/FitC5c+cQGSn+tRkREYELFy7oIhShHfc9ZubaOpsoif9YY2/kcxlnWGnFaQPZWdqfnWqgWoTE0Ook+7e9ns6S+Jc8HfYJ8+dz5WlxlTJuiD2Dhcc95Q7EN1ePa7vBXlcHScIXxYpQ+fLlsXv3btHzO3fuRNmyZXURitAOc5saC7aBSis7HNX9Wl9gL1HX3qmq7UzD5fnKRnGzRfCJYQXPSZ4/w0opKMWfilDwlL7fUQHNcj/xqQw9JHqm4GkdSglfFPfo3bt3x6uvvorc3Fyvczk5ORg/fjzuuss/znSEOO5TY+HiE6HHF5WaMswyZTMAnIxVw5c7vkskem8hnkvzA/HrWo4TLFl1nmBX+M6yUkh3VBU9P9N2t2wZzI+XwMj3y4h7eQne206pQY/25nn5Bgbj22keihWhsWPH4vLly6hZsyYmT56MX375Bb/88gveeecd1KpVC5cvX8Yrr7xipKyEAtw3XfWnT8ROh/QgaiR6TFUxcHg4/yVFae3MzL3GpPGlU5XL63mdg01BmF7QF68UDDFbDEEOO8yzpit5Zvw7NaZuSbyZ+PsjTLwMD8hZWhWKJ49TUlKwYcMGPPnkkxgzZowrsjTHcejSpQtmzJiBlJQUwwQllOGuCPlzoDrGUtEQR+UTBjDrHA0VpQvEDrkQI2ULGkVIZBB4394HgfqlbOTu7nLPhFJFyOz7raX24PAR0qOMQGxZ8KDq7atUqRL++OMPXLlyBYcOHQJjDDVq1EDJkiWNko9QicUSflNj/l4NZN5eY8JRdPlpfEHOImQBYPepBn8QbeUg/Ehou2/+uNt2KF/teYEloAyXpbIG31oRKj2J3sqcmUqMe1sCeQFHMKDpM6RkyZK49dZb9ZaF0AH3j2F/LhU182vR3yHzzXOWNncKI7CdxI3DH8+2kdHK5aRXahHyl9XBO6CifujfAj1KVF6G2BYh3veGFCM1hGfPFsK4R2G1cIEXM8MYfB+o1JRgXmRpJWloakzvaxBIitDg/BegxxNod3N8D5apMTXILavXCz2ftYJI72DF3vUZL0c4QopQqMGzCPmv44rwwTkvk/m2PNnfU4C+WEZOOsoglymP/pzFYl1/c5DvyH25EmJ5l9ubAgBm2/kBVYNpYAx0lCpCqx1NdKlP7cDp34CKxjlLB/Iz+0/3P1Sll7we5CytClKEQgzOJEWoZPEozXl97eCCyUdoG6uB2/JmoHveW4rSq13lZMSX4YiCZ4DBS/Ge7V7e8XDpav3RTiOnHYWmtdyfYWW9hO9TY+5KvVnofS/19M3JL5aCE44ykmnc74G7UkcWId8gRSjEcI/3EYjh5I1AqJ3XWIxh9fna6WQjDv+xyorSeg5YFUsZN5iItSsPUUClFl6DdSB/XevJVRTzKf8mRx3ZNGpCMugx5LnfSwbOK0aUJ3pMjfka9E+fwd58Z+lsxn+eXGVwgE3GaV65tYwUIzWQIhRquL2ZwTJQSUl5jiXK5heyfI0teFSlDMo7jtJx2pUstd2Tp1xN0hJVpTeSs1ASkThAqNJOc9YvbN10FEQYq5/9+RhPwebQNn86XpawPuqzOkojGqZ5irbYMBa93zfP8vY50oAS5RTkI3yBFKEQg7m9EsGyfF6qM7nE5KO2/uuoJlCmfjL4ktZXPAcsI2tWc83GFgxGLos2TBbdeXiR5qw3YJx1sZBI2Awt3/PeeloaT7FkfGPvKJHf96kxpfmN7LU8+8RTLEkyvYNxWGFvgq2OmrrK0Tvvda9jQlfnJEsGGhRNSSu+NhHaXRXCEVKEQoxIa9EtNXJJridmWp+uohh6KPS50QMHp/26qr1OXkuJZcYSfylpl1kJv9zxL5NGasglIJklsLu6YyzVr/Wp9Uli8N87LvYMZ/m4qALwnkZ/tWCwZPpRBU/isYIXRLch+dZ+hyY5jrCiSOLu7fW8L55XXPHUWOtRmuQKVwK7dyBUUzy6KDRUgYHRavVEjy9NX/041HTxng6Sv9lvd/39ka2XZN7f7c3ViAXP70SLzKXyxXlTzX3g4B8vhItW86PVv9y9tuF1FKjYIV69Mu19pzwtjVrKUIuvZfzhaA40etCvdRYi5rvzg729pvKE5OI47zur3IpWlG5Hg1eB2CCatg4ASBEKYWxMebRaX/Hla9HX70zmZ3sUk/hqc++Q/rQ388q7zKEuEKln2f60CPXLG6dbWVrRMr3L6bx0+M46vilja+0NZNP4254aE6U8hAOg/rnKSayBBfbWHmVoo7BmO6zAPb7t9K71ySgQUYS0vm9K4wEpdYJ2Ly860n/9fqhAilAIYwuT2+vvQUSq83OX5Wd7WzTNnYl0ng+Tuo6Tv7qHHzBTrn4lXGIlAADpjqpe7drCxC0hflM9NYwzZeKEfZfG9qiDqkkapld82Hr9S1snfGHvLrupqtFTml7lc2otQuo43eR5r2Pv3qtsLz+tLK71jutvsRaJKTRy2EQsdnpusSEks1T5N9xWxvLvIa0YU0t4jJRhitj+RfkaLEWHHPIrF7Tj+9SYPx2YlfpXMACXEQ9fukv3nBzkp8akrkPnvHcwqaA/79hlFo86ubNxT76386YcflGGNCghkRHC9+exNlWx6vn2ovlq5c4VE8L1l5pd4i+zOLxqexR5iJJ9ZpS0Us6xV7xsgakxNz83dnPpfKXSUqEZlL9f55/ci6zKnb2OJ5VQOn2t7V0+mFTkr8OB4cP+3sEnz7OSwK2PqS5bf4uQ0NSYvEXI/Tm5hKJI1OUTiq4to2CKqiFFKITxnNc+6khBh5gfRFfBzLF1wY+2thiR7x3v4wriDJER0MdHyFdl6iq0xee54LGqTcj3wpfVe0p3zy6MA8Mk4sGIOc/nIAZMpZT+sghpqqeENsfjPIistPHBIqQnT998L/W49szD0ggAaSXF3wFV72ixUhCSUk6J9xmP+5RcIhoJMXxLDgcH0GOq6qLzdfa3FHd6lv7tzklWFHzx75e0OW0TTkgRCmEuMf7eNftYRSBCfMnzfpaGF2xP4Awr7XVOrg/z5SNkkb2V9swqWW1vJHh8g6Oe4jLcO7FXvOIVeStCvvlP8Zc5cyIbzBY6ScsNWFaP3eM3O4qmv760eX/Fm43aa3fQUR5cb74fSZ+813SUyCiUOyyrj0UlcIxTZxVWdRc4sf7A2OXzDoGMnv58WrupjvXKi5wRLnEfqyRZnlAbLZz3Bx2DRbRzPcWS8W70CODe2R5+cWQRUgspQqFIr4+x3N4UX9j5geAYOFglPsvMWAI/x9YF79ruEz2vVCKlH+2nBaYXPrN1h9bOw9PKwgT+9s0i5P43h8yGwmZ9JYoQA8eT5a2C/njLNsD1+wIS8Yu9paQ839o64JCjHP503OKX6Ui1z+TggheBxIqu33/ZG2I78zUGTJEMu1kVxbmMujoRGkwrnvfKFhXvdU7qY4aBw3WF8ZTE/NiUiq31uXIo6AS0vot926lb5HAW3h+TYhRKJDw15pmWfz6lwzCgfl+PVKQIqYUUoVCkyQAMLXgeOQIdl9Wjt7sj713X31KvT5TVmJdrqf025EPdChZPhHyEjBykpZYeM4FdvX2TxGMAKya8F1GhD4rc8vkTrGgF1Kf2u72mSeViT42xDUWn/CnIQ5ShivMaeyMccpTD0Wj57Sn4GCCT2wA7sWAAL1yC4iJkz6sIXaDDo10QWcL1d4vqSVj7QgfJ9AwcvrNLpymE44SfeaNdV4SvMf+o2me2ML29WCls7vCtNsEEpfK+GFaVy+eXPNsGDzWvKHqeUA4pQmEEA7wsQkeYMifoBhUSJc+bGVBRyi/GH7jXLugEqeDa7I0QXqHlWZ5dyP6PIgVGziK02HE7ctuOBQb9LphGSNbkEp7TqcZf70EFL+LO/Mmwq5zC8UTv/amyURwjCp5Brdy5SK8xQjKXmndCzdvzW3x/+US8sr2vgc1NEWqcVhIVJR2lnfLlIQq35n6MIw5pHywOhSEM9HlOlCpQ7gYhsWtvEZha7p//Cg46hKe+3Mu5UrqpMkFkyEW04D2xWNR90NUpGy8cKoIMQqohRSjMiJSw7Eh13EZt7qBVfZpQ8LDrb7vCVWM2ZsEs+10CMsjn3eMomvP3XJXRrmaRlUaoPUoGxCnFvZcbe5bn3BxTzEfI4pVeuDwLIto9B1RuLZOyCLHp1L8d9RWXoR7upgO3b8/dNR8DbQLgjbCF8uQhyngThwhLStwLPLkBV2OUr+T02mLD6qbccoVTY9JKNOCcPp1lF46yXFScsVvBiMEE3w2+JEL7xm101MOd+VMEy+QrTsp7q8qlhcM0nLaWx5B8/rvuWlTByTtLRyiwzNNO9OohRSiMCBQfof/clAqt/Gxv6/r7KJNf0rzdUR218+biJNMWHC86UiyOCIcSMdIrSjzD+gth48TLd0fMIlQ0JSY1mDmJsOrz2v/haI5H85/H0PzACefveob7fIYDkbXxRsFDOpTqrQipkkVBPlV73XEckFJPtcMzH+/66qSWEEh3s0639HL9hGhLFDry6RWk0PP3BZaAvRJOzA/lj8H3tva8Y4VtjY1Sd60rly3yRfzS1sn199OlP8MuVlUwj5Ai6nktIhRtFUOKkFpIEQojLrF4SUWoEC0K0dbYdorSXWMxuD//VdXle5KN4phccB8mFDyMS0jgSWwXmSqz+bAEVjrGShGCJm8F11NsjPBcNSaGXaGPkBxC975GitgAyWGVoynOsgAM59/wPoxNeg/noINsbjeHf32L/s7i+Cs01fIv8944WFwcpzxK31LB99ktjlBhK57tVEN7ee7nRVeNaUOpfcndIlSYw13Sa0za2ftvRwOMtg3zqJuhXrl4pMTHqIqiwN35Bq4n1MCYgiHIFQjLIO4jxD/u+T6TimMMpAiFEdNs/ZAcr3Unbele4J/i7RWV4tmJ+mLG/djeG3NuroxzL+epgpFeaX01F7tvZivnh+OJEsVSSVwRDkBDEV8th0IfITX8OqIV+jWrIBsROJBM8YokuWs6AOCdggcUlips2XG/rxfs3nG21FyVn+1t8G7EUBU5fBsUOQHLQmyU+IcCv93SFIuygjH9LDuK83lk1OOp5AA82kr5SkEXiWmwPbER39o78hYkCIYycE2NcQIfMh6/lWiYFFBRNaQIhQmnWWlkIQ7j766r29RIIWdZKcUvHwfhJeZ6cpF5f50r3RZDCVJWGk+fHjE61+VP0Smx5HCcuL+OEh8hJQOTe4qGFRIxpV8jH5Rn/6No89JbHkX/kt/gE3tP1eV7KqZ6wWDBYksn+YQQ9z+RLp8vrUXlYKlGqYmOsCLPJjQdrO/bnmfh+3+5zxpzHIMz7pb6ch/PH+n62wKHqwyt0l9nRf5YhcqaWGRp7zhC6hsQFUF7jamFFKEwIcJiwZhutZFcIgZxUcK3Xchy8aOtLR7OfwlS3b5DpSu1ERYEud20fe+CtcscaVFSuxInSHEKFSml238EDQKN/snNP8ydL2zdFMdvuWZJUCGDsEUoIbYo7IPQgKv2mZPbLPatPvUxoHlFvNC1lqryOfDDJnjXpcRi6V6efPrcArvwiSc3YnzBI7L5lZBniUUUV1SPkjhCSljmuM31t/u0ttriCy+xkEVIqCihjxyHhhWx1ZPFfb0IYUKs1yTESImPwePtpP0QhDq4V2xDsM6h39SInlNjatCzHveyvP2OvOtREgBPrI+VU/AKKQqoKF1Hmxri+1XVKavVz8XIe+jdIs/o2AAww9YTb9ge9jquvwzOts4ZdCtKxRb5fiTHe69OU3tV5MbZuvWa4M17GiA+JlJV+W2qJ2FiwQD8YCvy43OfGlNSjhpnacCpCAkqDil1Mc/eRXFdUihJxVf3vHNkMWnrmh4LSJbZbwZjLNfUpU0J+hIK+Ah5pVMSNJKmxlRDilCIMuvhZri1cklVeYReHyWd0vu2PqLn/rI3RIHHJq/GWISky48QGDyFcF/hwcOjc/nc1g3r7PW9tuYQNHkz+VVjaqetPCmyBEmX8/EA71goPRqUxYaX7kC7mmUkO/5fR7TCnXW1rbrTilCfXi7e2/lU6xM1scAZWfvr1NHiiQQGnw61k3myyS1CUPvMv1vQj39g5C4gVpvjd9taZZCJEnjR9rjrGMep6/rVyp8jZBEyeM82oeXzVktR3+P+bD+X/wQ+tPXGdibtIM6B+exycwGJqJ/7OTBkueD5QqmEls9XTlI/DUo+QuohRShE6VIvFT8+4b5dgvBqF/COytkTvGmd9z5+tLcXffdOs9L4wt5dQUlitSp9qaUtJ9scyrZZmGR7UJFME20P4+GCl72mooT8n/6KcsbsOWEVjwKrZIyQuhZrbu6hJucsXSLGO4q31cKhXGIx2S0QGlZIxGcDbxEo17/cVlGZ5UqqOYXP6+f2HsBLJ7E5wTu+DACg8UNQ0kLhd6fo2CEmtleVMPtZGn61tyg6kOj97CieGhN4uIScpaVQe49vqax9tR7vGR72l/KAigLHrCLuMj872mKq7T7IqdC8qTGVV8G95GuIBawRblNjQj5CAscsHL8kRReDFCG1kCIULvDeDbk4IO4vP9CvWQXRtKeY8JYPhTi3z3Bf1mr81Bi7WVMh79n6YIatl4q8QmiX86cSA4F75+DlxHdE61EyNTaPE27DHFsXvHlzzzBfls9bOE6XqQCj4Zgy655iYkQUq5ZPA71nAInCsWdy6xTt8cQ5bJJVvFowCH/F3wXcMVY0jdp3QTJ1maJI5UK+Mxbe8nllqxoLrV5HFMTtKp9YDN0byKeTpVxj8XMeF6BXY36AySpJxXlxd7T0Ne4xwPQwaDkkQh9YLZyAj5+G95ksQqoJGkXo8uXLGDBgAOLj45GYmIghQ4bg2rVrknnat2/vjHLq9u+JJ57wk8TBh1CHOGfwbXijt/YIwgWIwHqPCMT+cZYuast7tnuRCWXB4kRR2LkILTN+o29ToH4fXJVw0BWTwf2e/MQJ+1Z8ab/Tta+cdFtE6rh5eHCryogOhhUnCqYadaHczWnE4knAE+vRseA9vhgJRQqSxZbjld39al9BPL4p8z+gXBOvdIcdToWhfnn+8+GbUlpUu10wjJDarp9zBfPc4KgP9PwIeGylZI7i0Z7WR5n2lG8GPLVJhUR8mlUqskIll4hGSnwMrKrbKV2HEM93FrY2yzm/FyIVWTo6QkvsM1KE1BI0itCAAQOwZ88eLF++HL/99hvWrl2LYcOGyeYbOnQozp496/o3efJkP0gbiGh7OdpUL4OYSCWDo3D5BYjgOVs7VRTjfYTKl9S2tYK4bMqcloW6etdyZ89PykbOPaO+sHVTtl+ago5Vy9BZWGrpuGjcWSdZdX6/xxFyeFuEVK/Q8vwt1IR69xT9nVofJ8HfY8s9j8XurQgppfgdozC0TRVMvKeB5jKkEPKdsWjYwZ5H04eBCt7TpD5RtzeQXMfrXmqRNOpmiBCxUCFbXumEkrGReLydcJTnorqL1sQKPWNNKyaikwq/OaHl89dvBnoUcpauW17844nQj6BQhPbu3YulS5fi888/R/PmzdG6dWt8+OGH+O6773DmzBnJvLGxsUhNTXX9i4/3LQJsaCBmfRA6yEmd5dNxnNehAq9VVWrn2dUP7QzA0x2URcnVG6EYQ4JLqxmAuz9An7zX8JbtQa/9ywqx8xzNvdNciyiJ25s1c/2WWj6vxLQfFFZ1gWmoQrHvu0V8GlcNB8rd43UxPH1E3M9abLkCMnmmF/jkB5AaXwyv9KjLW4Xms3LpJrvD4W1B40SmxiYX3O9bvVLIPn/qI3qJn3Keux4pvGCkTIlobH/1TozpVkeyBrm7YOGc/nVK8xa9gxxeKBiG9yIeRcbNkA9CymmklphvQfESBxZBoQht3LgRiYmJuOWWoi+QTp06wWKxYPPmzZJ5v/76ayQlJaF+/foYM2YMbty4YbS4gYmCuCFanKV5tHnO61CekgB3OuA5NRabJv51/WD8XPTJe022HCV1qTvnQUQUtrOasMMqeHULmBUX4PZFWHgP243GcUcybsn9BB81XozxvRvhyyG3CZTgHySvWR3pDTq1VSjsI/TJgKaYfG8j12+jxwP3qQ+Lo0BhLmWDve++Wm6KkKBFSLjr/9iuzJfOEFxyqr9xeTHCYSHORwn7dwHKpq74PkLC9yReYAGCGO4l/Ghvjx8jit4P59SYh0wqV/cR2vDPKOUjGRkZSE7mm+wjIiJQqlQpZGRkiOZ78MEHUalSJZQrVw47d+7E6NGjsX//fixYsEA0T15eHvLy8ly/s7OzfW9AQKCkcxF60ZV1SmJ9itNZ2rMW5R2dti9jDkiph4fyxwjug3XZUhr7mPcSbEmKCX9ZKpJGQROE2vmqbTBvQHSV0+FltFt2c5WYJQLREVa0qVFGtBypOrwT6ews3fUdYO9iXYr6x1EL+SwCrUtWAbCGd0611LI3xbtEoS0cfrffhh7Wf3CxVn8k7f9Wvl6p6+uD5ra39J34KSMZr0Z+7XXOIbBRL08JMMo/XnVztK/KEvumj4zw3UdI6raotmFJ3H/h+D9ek7gqaySUYKq6+dJLL3k5M3v+27dvn+byhw0bhi5duqBBgwYYMGAA5s+fj4ULF+Lw4cOieSZNmoSEhATXv7S0NM31BxvSU2Pa8J4a46OXf4lQ9/K3owEOq1y2LEqHl93qUucjpCTutvDia8983q+r51etluuZmqDNn0oROpplhuc/g4cKXgGq3XGzbH5QQM9r2Kux895XT/beB8yTSqU8N9VVsGSeA54reBKD8l/EmdtfU5ResFyRa6Tmyi2uMRFf2HsIlimoCLlZhOx6r8IrqsXjt3ErEr2nlp11DWldhXf0m8eaqypXyYbJYqjdFowTtAjRqjF/YKpF6LnnnsOgQYMk01StWhWpqak4f/4877jNZsPly5eRmpoqktOb5s2dL8GhQ4dQrZpwlOUxY8Zg1KhRrt/Z2dlhowxdg3NA1PM12u2ozPvNgakarLc7aqC+5ZhsOt8UKgV53YLZKV+Z5fzbtVcRr0/1DCPgTXKJaCDLvTjvej3dCqSWz3vK/cUjt+C3nWcx4o7qMpJIM+7uusCfqrMV8eCP2P7bTDTNll6F5KLO3cCAn4CU+sC0omXiFT2UmftvSUPVpOKoW07eL/DJ9tVxOjMX+M/5W2hqytuJl0MuorHG0RijIhXuxyZoEVDhhydWrMQ5uakxARciL565ozqqJcfh2e/S1QunFF+skSJTSO1qFoX3YODQsrp4ZHXBYt1DiRigx/GCcnKcwKIJjRZxQhWmKkJlypRBmTLScWgAoEWLFsjMzMS2bdvQ7KZj6KpVq+BwOFzKjRLS09MBAGXLise3iI6ORnR0tOj5oKPBfcCuH4C2L4gmGVswGAOTj2DB2TbeJzV+XeSxCDxd8DS2sVr84qBuqJ1q64f+kWsQyZT6YMiXL9Wh+WqhEt59vvCceMVCewo917k22juqAb+J1+dpTlcjf8c6KehYx7dI0TVT4tCymrrBhcejfwIVm2N9yQzlihDHATXu5B3qUi8F1TxW2FgsHJpXFd57zPMqFYuyYkKvekWKkCLPcvc/he67dJDFooTeeRk4bHHUwl1WZcvJvcR1K1N41ViRE76QxciTUZ1rgTGG7FwbGhi2kqkwxo76d5ApmNzQ4nflnsddqVKWV+C+ek2vuvmZcQIScpz6PpgsQqoJCk+sOnXqoGvXrhg6dCj++ecfrF+/HiNGjMADDzyAcuWcQbROnz6N2rVr459//gEAHD58GG+88Qa2bduGY8eO4ddff8XAgQPRtm1bNGwovXdWSHHPLOCZdKDJANEkX9nvRPLQnwT9eZTi+eodYBXwp+NW1+8M5vSx2eTgr9KQ6/RyEYWVpZRFey5EKPqxEppVUuYHJLbCyxfqlRMYXDgOzSqWcvvp/bp6WoR8dHc35rNXiptxdcRqzbUUWXmyIb7dQLUy8tNfcniqlLLpOeG/laRXwlf2TsDdHwAjtsmmlVKyheIIuSvQSjcr5TgOD99eCY3TEhWl90KonohiXuc1PYIGDf7uqknJ4t5+hVI+P0JI3Seh5fM3vZRU1UGoJygUIcC5+qt27dro2LEjunfvjtatW+PTTz91nS8oKMD+/ftdq8KioqKwYsUKdO7cGbVr18Zzzz2Hvn37YvFifRw3gwaLBShVRfR0h1pl8Er3OkiMjcLtVbWHxZfj3vzX8L6tD54tGGG4s3T5kp7+Hsr4btjtWP1CB5GzyuQogHfMJanVKctGtsWT7athTI+6InUWdZxWgaW0evgI8ZHv2Fu7TS84xwHhOndXGypfnfC8oQs7Fwn87z9833oJ8qDSwV1nPAc9uSsteF6Fs3TPJhWBZo8ASdVFMiirXUjRca9JaHm9kXzxiNuHSg33vf1EVrOKLcSIKFJ+mYLVVdoiS+v7YeBlEfKYSfe2CFk0rBwjxUktQbFqDABKlSqFb775RvR85cqVeR1VWloa/vrrL3+IFtTMGWzcsmuOK3rxT7EymG67FwB/Sape6NFdRVotKK/IcVi8o1lob403IufelInjpXbvBAv/rpVaAqO71gYKBALyuV9AANPvbyyYRKlsejmmz3/0NlR9+Q/ZdNdjlGyx4JRJ8v4llMe1mHwAV5SIpxn1MxCc298KMwl+lAhnfvMeFRHdpabGhBQdDRYhveBPx6p/Jgflv4DnIn7Ev3XexkPbH7hZjDHf9BZOvK+6L+9VybyKrIRufzscDCdYMoA9HolUto2mxlQTNBYhwngK+0NNc+kC794Pj7fwPuhZp+x5pdKosTL5toRZSqHIQZF/WaHkyvoloUT8Yw3KJ3qlEF5yK4xeipBX4DcpGYoZZ2X0BbnLpsxZ2v1veR8hDhyQXAfX75mPu/MmygoTG6X8O1XSWVrGB8jucX5E/tPYEtMS82x3iuRQiMhKLlEUdjtrHE1wd/5buFK8yFLm9WzrpNw5d5/3vj+/2lvgH+YdBVsOb321qOz4YpF4jxuABY62HonIImQ0pAgRhnGryA7UfvZCkUXdhIcALZ8BAPxibynsLK3VgcTzmEAaq69bJRhNZAwwcjfwvz3C52+2yd+uScJqp9tRBfuZqfURKsRWszt2sao45rhpGanaQX0hHnj7qhSVZZe5uHYPi9FvjhaYVmo8rsPAsApC3Lzmnu+Q2PvDU8i9lAVtD1RcNF/5FPsMk/w8G7Jc9JTnfXqxi3MxyYDmFWG1cFg7rg+6v7rIPQdZePwAKUKE31HnI6R/mZ4oM9i4TTV4nivfFHjpJJ4tGC5ZhPR4JCYFU5BGGf52li6IurnRbWIakCC99YWc06lap1RfURL7yXPFj/d5aZk75U/ByaF7gRK+rdwDZFZCyhliRBL4Ht1aCdrrcFdalPgIKWHJs/yVs2I+QqJPR+eJQJq4u4F7aW1qJKFbg7LYOrYTJt7c2Dom0uq9tyNNjRkOKUKEC1+6Pc8YLsrrVDLgyEumRnbJgUFrJxITD09JPdvmfo0El8l6HbPIplEzNWYENyf/eMfW2BvhJ3tbnC3XWUEJLg8qfQXzGYGpMQlHV0W3wSONDRFAsUTVkinC7dmR8wFynzorXDnZvlYZZWp3nAolTlaZVbZ8/rW766JDrTK47xb3+G4e70pKPeVy3eSN3vWR5tGPiSlCFs55/K6G5UTLE3wm3Iqb/6hTYUqKixa3GjOyCPkDUoQIXXi2U00VqYte7CiZTQXFfIRe7Oo0KT/ZXigwpnTH4Vmelugi4mWLn3u9t1TnLOIjxBs8hKbGJIpUVIf+XK7dH/NTRuPuxiKBSKt3Ej5uMjzFRuVToebKGjGuDWxRWfSc3NRYdESRQD8+3gL73uiKxNhIKHozHloAVGxZFO2bh8qGFi6fl0k2qFUVzBl8G6Ldts9whbR44m/gliFAr48VV7tsZFu80aseHrytotc5oQXtANCpTirmPXobBrWs7DxQ+y7AEgE0lN60lvc2K30Q3D+IlOSxaA+DEq6QIhSOlBZejhsfo30RoefculLeuVdbTKcn21XDuhc7uObY9XIE5nXeabfzT928bv9ESQXxFJcjuYRE9GHRDo5JplEyhWM4HnL1aVIev45o7W3iV5A3mJCzCL1me8RvslQsHYu9r3cVPCe4asyNBhUSXX9bLJzrvilSBlPrA48uASoKLIzw4711BVRMbQDcNU3VdGOt1BJ4uEVlnr/dNeZ8V9fYGyMl3vu9jbI6Ayy68tz/FfDyWSAu2SstAPS/zflRoH6Kl0GxQnnb40Bac6B6R5V1EKQIhSP3zgHq9QGGruIdfq2nMnPyWwX9NVUrFIitWhnxIHmAU8ER6pA5jkNaqVjhryq9OuAq7v4CHPDUJuDFozhv1cOnQ2oNUuEhD4uQkCKkoqn6KYv6I7mSzwDkv8YVBFT0WDeGoauBhg8A//sPs1ssx3f2OzzS8//Xm2JRbopn5dauP+UCR0eIONzrL6eyqTGl8GPw6DuUtcr7AH1sb+KOrvfgtioKVj5yHBDBj3Pl/nxIWezky1bYtu6TgSF/AlayCKmFFKFwpGQloN8coHwz3uEKNwMRynWADg2PTeXSsVg0vJXAGX26W90Gec8IZ+5YI3l7jsnLpLVeiWMe6O4jpItTsooyXAEVdahWBXJXTdEWG+7pOTid5vvMAhLKIyfKpLABT28Hur7N2yS4uszHhtA9Z8xfztLScgDiihovq87vQRbiUKbW7Xi8nfCelFrfE025DIqRRBRBV5gwBLvSR0vmJVe+asyb1+6uixoCO497WmN8UaK+HXq7fCI3kuKcX42d6npYlTR25GpWzyu7liq3DGAqTPdFmSSP7XRUUVeeTvBvgfx1cL/2JVRMDSv2DdFC6WrA7U8CkUVL3++onYw376mPpSMF9hIEIBrR2e8O7MLO0g82r4gayXEY3oGvlLhfxxslzHlmpBC6zdq2D6Fh2miCJrI0ETicZcIbWQLAG9wwDHX8iBcLHudtSO75/i+yt0TvqhyQ2hDAacn6jsUIbT8hhbMHGtSqCqolx+HhL/5RkVXdUqAW1cSvhRDLRrbFzlNZyjZw5CyQG5C9ghsGAxZv3yH3qbHe+W/4UxrNRFgtmH5/I+TkO5As4EfiiRoFSE8VxMJxGNC8kup8qp6sRKHyPUqQX8cveLhETCSWj2oneK5v3nj0s/6Fso1fgZI45mqQFlerRUhlPlo15hdIESJU84fjNnxo643tjhpe5xZwd+KLvHaQ60ZHFoxA78E9ZOti4LA7tjnQbx7wo7jzqZhVx9+B+uQoHReNDrWFHSq94UQGGLcUekeW1nLB1HbUSTUBcEBxzz3LnGiZetUbpdaQe5oIx0eScorVsNLeR7S9BKosQg3uBS4fBiqqs5AKTsupyL6N1cI2Wy18Hl1SXb0KMKLrIItQYEKKEKEaBgum2u4TPNe3aQV8/vdRNKmYyM+juVfhnANtvd7AH2WA6xdEZBJRhLRW6yWG2qAxOlEsEXgmHYgQtjgEpEFIyc0e8AM/i0GiqIEfWdo4ifzeVk5m9Z4ebbVYeX5J2giEp6AIycui4Jrp5f1IipDx0BUmvLD58Fi80LUWPn24GeZ6bObq140d3aNAu9X7YHNnnJDnO9dSWpCeUqmnsB2lqgDxwoZ/dXuN+QsNNWmbNdHMmO51AABPiDnD+ni1hOQVjBQlFkfPp9pvcssQoM7dQHIdoZolszo9v/R+YuRusv6bMfuG/m8MWYQCE7IIEV5sZzVwPqUNkivWVp03OsKKzvVSDZBKG+6xQd7sXR+j7qyJpLhoiRyBhJKo23qjqadWWYVQHf61BjSrVBL73ujKi3XkS0BFNei1XYhV7rLfNU1KCpG/i/D5Gmi0nK50NMWDWI1crhjkPa+U4+/wEULT1qrvfaDN7YcopAgRXjBYsK31Z+jWQD/3Q1/eZ18iP7eoWhq3VCqJmqklwHGcoBIUsF2NzsvnAyeOkPcVz+G0bdHiQkM0XaGAj/85KqGu5TgOl7sb3nGGA4vYaCtwQ4eC/DXYxsosLLgpx0pHU/TLG4eqtZvgHT+IJSOO+ZBFyHBIESJ4VE+Ow6Hz11SvhjKC1woGKk4rNshHWC346cmWXseHtK4CbJUpVCqmkA8yKUeBIqS3k5DK3p8B3gpb4WarKuo4FlUDs2w9cJolCWSQWG3TYSyw+2egxVPywsrAAbgnfwIqcxkYkCy0ZYSP5et8q3yLKq7E2qizJpAmFZGdX/MWVhvJEYn61q8S6UVj2nyEfI8jFCgfM6EFKUIEj6XPtkGezYHiGrfM0JO5duEtA4RQq3S8elddeUXIbBSMnDxVjZPun/1iEaraQWTfKb4knlgsHCbZBqivr90Lzn86kYco7GcVfdZalA54vsUUMtZk4fvT4lGCDtG89c8pUaYBJiHyEQpM6AoTPCKsFkOUIH06FYVdc8jE3VBiESr6u3Rxad8nIwIqetHrI75QCnmlh9pYUcYSKk+QVsyJLB1YztLSrfdTHCEghPqzwIUUIcIvGN2lGlO+bx1Qcolo3OkZQVqKXjOA9i8D8eWdvxXEZImNKlJa5w6+FY0E9nMLOASU4ipJxfHcnTW9jvtzCDA04jOMaIvR8prrJOPv/edUoWRqTJfI0rR83h+YP/9BBB3fPNYcBQ6GAxlX8eYfe80WRwAD9h1TMEimlSqGk5dzXL+n3NsYXPVmEjk8aPKQ8//W/wNsOUBMgmjSF7vWQvqJTHSqU6Ro1S+fgF+GtwJeE8ul4Lp0mgAcWQO0elap1OrrSK0veFjI38msodDXehuU9753hYqWfm3SqSSR0dnvdoiA8U52YkRkaW2QRchoSBEiVNOyutOh9fSVHJmURfjUxynI64v/i3hedWXOf7Q5Plx1EPjP+dtigTazdkSU107WnjzVvrrqYj8e0FQ+UUpd4OWzgFVh18CgvI1P/A0c3wA0FvYFkirGH2Mk39/Kt8Gnfa0yeP+BxqhbNh53Tl8LQHjz0MAY4gJr+fwLXWphzvqjeKmrUPwj/+HrIye4fF61EGQR8gd0hQm/YLSZ2xBHYJVFVkkqjmn3NS46EGBfuK1rKNjfDFCuBKkltQHQ/HHBvcYAdaEAjMbXxXgcx6FX4/KokVICY3vUcU793QzkGRcVgWKRVlgtHMqU8CWmlbHX60PbPbjC4oBWIw2tB/X7Ov+/dQgAYHiH6tjySidULO1jSAUPKicV168wrbvPa8nmbhkOoHcklCCLEKGMWOFlzQGJbp2FWNjfwFJwAgofrn2cySsV3UXXUyl7rE1VPNamalHZFg47xt0JAIi0+vItqtNzWNo7ujYDw1mURtO8mTh659361CNG3y+c/nGRxVyH1FrklCzGELLI+VqmetSWyYCaXYCG9wNlGwOr3zJAJoIUIUIZPd4F8q85v+g14F/dwQAfITVllqoKXD4CVLhVHzl0w6ivSX3KvbdZBfz53zm0rZGEib/zfc/8rXoavYebUDBHvzNkOZCxE6jWUTQJ88ekAcfxlCADK9KxLHVPZGFXoqkftFiBPp86/yZFyBBIESKUEV8OeORXzdl9cxGSz+2ABQvtrXBP7TjBL1xtiHSccl+rw7cA9nwgSl/TfqgTE2nF/Eede9R5KkL+xugVZPrgo4xptzn/GUagXUOVwUJ11L6TS8RokIDwF6QIESHD/wqG454BPfQrUOtgaI0wzs/GF4wa3INCaZDHXfkx219Jmc+bccNqiRj1W5aECn2bVsDP209heAeJBQkKtaSlI9sgJ9+OUsWjbmYjVSgQCcDemghFAvn912vVWDjifVv1vWZm3YGQv/Myil73+qlY0agcbqlc0k8C+QNld/Xdfg0x7q66SIj1XRmsnRrvWwGeHWdqA+DEBt/KJLygVWOEn9BBE/L3V3pCBcG6B7esDABoXT3wHchPpvV0+xV8w7tZ+rOG4NjBhcyXSYTVgg/6N8HAFpX9I08AwXGcvBKUmKapbJ+f53u/AJoNAp4kZUhPyCJEBATHHcmoZDkPlKoGXD7MO+d3a9Kjy4Abl4A44ajQvZuUR/3y8ahUWsfluAZwvmx7VOg1HvhIu2+XMoxXsPz9DJg9NRYS+PEa+u3xGPgL8O/3QMdxmrJriiztTnw54O73NdVNiEOKEKEZNf2cXAfQM38ixjW5gb6V84ElL/ommK8Ubm1xaptokurJMjusBwDJJTxW4vhjYNK5DtOmxkJdEQr19hlF1fbOfxpR7SMUGdgfW6FCqBuAiSAhC3E4VrKldBTVpgOd/1dq5R+haKwwncJhIybSv12V0cvnTSeQnfZCGMVXvcdUZ/iNts8bKQ5xE1KECEOZdl8jJMZGYtbD4ntu3dOkPKwWDg82ryhdWLuXgIcXAg/+oLOUYmiMIxQweHa7+reBMeYX68IDt1bEbZVL4cWutQyvC6CpMX1QcA2LK4x2LkPI6XW3PgY8tgKILWW2JGEBTY0RhtKnaQXc06S85FTDtPsa4Z2+DREVIaOXWyOAanfoLKHEV1qwD4YhMDoU3oFiUVb88EQLv9Ub8hYhs5/tB74Bdnyt2dcmaAn+VzIkIUWI0ExCMWXLS+X8LTiOQ1REII48gSiTGjx6XcMGP+MsZ+aNG8F+72WINtnHrXYP5z9/YrbyB9KDAhWaGiM006VeKvo1q4BJfRroV6iAFcMww8btT+ESS8A8Wxfh8wHQcfqE14UL8vb4kZC1CN39PlClHdDyGbMl8T8BYCGlgIqBCVmECM1YLRym9GtkeD2G7VzfdRLab2yLq3CIJHAbDYNSKWII9m9Qs656yPoINRvk/OcPigd+nC1/E9xvY+hCFiEi6CkepX0DSweTGPBCbTA0oD3Ms9wQuWYhH1DRH7QYbrYEfELk2ST0h153IujZ9VoX9GlaHuPvrqs6b7TkLuBB3nGSGV4zQn5tL3Rxrlgb3kGvTX3FmdCrnuF1GE5UcaBiSz9VFhzPOr2SgQlNjRFBj8XCYdp9jTXl/fyRW/D0Nzswtkcd75NB/wXpLx8h466TaVtsCNz7p9pXQ6/G5VA+sZhADn1JK0mB9EIRB2lCAQkpQkSA4d+OomnFklj/ktiS/CBXhKjT1YyQszTHcahQMtb/whAhQ8c6yfhjVwaqJpGiG0iQIkQQYnDGLQs3Bb9YuEJki41QuN8BASnj7kzq0xC3VCqFHg3Lmi0K4QYpQkTAY55hI9gHQ2b4xWMMhipY5k2NmVRxIWTNC0kSikXi0dZVzBaD8ICcpYnAIpAGgGD3EaI4QpoJik1XE9LMlkCe9i85/2/ykLlyEIQEZBEiCFGCYDAMNEJk93nTLUJKruM9M4Elo4HbnzJeHq1UbQ+MPgbEJBpajbLvJ7NvKhGokCJEEGIEfXwc47fYiPUhhlMgYzFbE0qqIZ8moQLwwNfGy+IrxUqaLQFBSEJTY0SAIbDFhglSOAlG5ccNA6cZZzzYFNWT4/D+A00Mq8MMWlQtjfKJxdCwQoI5AozYBjy6DChV1Zz6CSIMIYsQQYgRlFYgKfRrT4+GZYtWvmRf1a1cs/lmaHM4mHP7GFNIqg6gujl1E0SYQooQQYQ0/ranBbfyyHEcrMHdhLCkgVkWPCIkIEWIIBQRhKOj31bgBeG1IUKCbWM7ITOngAJdEj5BPkJEYFG3t/P/tNtdhwJpRX1wwYDSNYCyjZ2rd0Juqo8Id0rHRaNamTizxSCCHLIIEYFFfFlgzGkgMhZ4eYm5sgS74sCYcxv1YWucv/3RHp3qiIuOwLU8GzrUTtalPIIgCDFIESICj+hA+cILckWokCBU6FY93w47T2bhDlKECIIwGFKECEIJQahMBPM+T8klYtCpbozZYhAEEQaQjxBBiBGUyo8b5FxFEEUE+/tMGAYpQkTA0qRiIgDg/lvN2lMp2DtOUoQIgiDkoKkxImD5btjtOHUlx7xVIcH+BUkWIYIAytQBLuwF6vc1WxIiQCFFiAhYoiOstDSWIAjfeHQJcHILUO0OsyUhAhRShAhClCC3CNHUGEE4N32t2dlsKYgAhnyECEKMYJ8aIwiCIGQhRYggRAlyRchfPkKkMBIEEcSQIkQQSgjGwb5UFbMlIAiCCHhIESIIMYJR+QGAwUuBxgOAru+YLQlBEETAEzSK0JtvvomWLVsiNjYWiYmJivIwxjBu3DiULVsWxYoVQ6dOnXDw4EFjBSVCiCBVhCq1AHp/DBQvbbYkBEEQAU/QKEL5+fno168fnnzyScV5Jk+ejA8++AAzZ87E5s2bUbx4cXTp0gW5ubkGSkqEDO4WIYrJQxAEEZIEzfL5CRMmAADmzp2rKD1jDO+99x7Gjh2LXr16AQDmz5+PlJQULFq0CA888IBRohIhQ5BahAiCIAjFBI1FSC1Hjx5FRkYGOnXq5DqWkJCA5s2bY+PGjSZKRhAhDFnOCIIIMoLGIqSWjIwMAEBKSgrveEpKiuucEHl5ecjLy3P9zs7ONkZAIvChqTGFkOWMIIjgxVSL0EsvvQSO4yT/7du3z68yTZo0CQkJCa5/aWlmbfgZmpQpEQ0AqJEcDFtnuA/wpAiJQ9eGIIjgxVSL0HPPPYdBgwZJpqlataqmslNTUwEA586dQ9myZV3Hz507h8aNG4vmGzNmDEaNGuX6nZ2dTcqQjvzweAt8vu4InmhXzWxR5AnW5fMEQRCEYkxVhMqUKYMyZcoYUnaVKlWQmpqKlStXuhSf7OxsbN68WXLlWXR0NKKjow2RiQCqJBXHm/c0MFsM9dDUmASkMBIEEbwEjbP0iRMnkJ6ejhMnTsButyM9PR3p6em4du2aK03t2rWxcOFCAADHcRg5ciQmTpyIX3/9Fbt27cLAgQNRrlw59O7d26RWEMEFTY0RBEGEOkHjLD1u3DjMmzfP9btJkyYAgNWrV6N9+/YAgP379yMrK8uV5sUXX8T169cxbNgwZGZmonXr1li6dCliYmL8KjsRpJCzNEEQRMjDMUY9vBTZ2dlISEhAVlYW4uPjzRaH8Cc3LgOTb+7X9dwBoESKdPpw5eo5YGpN598vHKGI1gRBBARKx++gmRojCHOh7wWCIIhQhBQhghCDpsYIgiBCHlKECEIUcpZWD10ngiCCC1KECEKMyGJFf0cFQwBIk6B4SwRBBDFBs2qMIPxORDQw8BfAYQdiyFFeFJo2JAgiiCFFiCCkqNrebAkIgiAIA6GpMYIgfIOmxgiCCGJIESIIwkdIESIIInihqTGCIHyjeBJQqzsADoilYIoEQQQXpAgRBOEbHAf0/9ZsKQiCIDRBU2MEQRAEQYQtpAgRBEEQBBG2kCJEEARBEETYQooQQRAEQRBhCylCBEEQBEGELaQIEQRBEAQRtpAiRBAEQRBE2EKKEEEQBEEQYQspQgRBEARBhC2kCBEEQRAEEbaQIkQQBEEQRNhCihBBEARBEGELKUIEQRAEQYQtpAgRBEEQBBG2RJgtQKDDGAMAZGdnmywJQRAEQRBKKRy3C8dxMUgRkuHq1asAgLS0NJMlIQiCIAhCLVevXkVCQoLoeY7JqUphjsPhwJkzZ1CiRAlwHKdbudnZ2UhLS8PJkycRHx+vW7mBRKi3MdTbB4R+G6l9wU+otzHU2wcY10bGGK5evYpy5crBYhH3BCKLkAwWiwUVKlQwrPz4+PiQfbgLCfU2hnr7gNBvI7Uv+An1NoZ6+wBj2ihlCSqEnKUJgiAIgghbSBEiCIIgCCJsIUXIJKKjozF+/HhER0ebLYphhHobQ719QOi3kdoX/IR6G0O9fYD5bSRnaYIgCIIgwhayCBEEQRAEEbaQIkQQBEEQRNhCihBBEARBEGELKUIEQRAEQYQtpAiZxIwZM1C5cmXExMSgefPm+Oeff8wWSROTJk3CrbfeihIlSiA5ORm9e/fG/v37eWnat28PjuN4/5544gmTJFbPa6+95iV/7dq1Xedzc3MxfPhwlC5dGnFxcejbty/OnTtnosTqqFy5slf7OI7D8OHDAQTf/Vu7di3uvvtulCtXDhzHYdGiRbzzjDGMGzcOZcuWRbFixdCpUyccPHiQl+by5csYMGAA4uPjkZiYiCFDhuDatWt+bIU0Um0sKCjA6NGj0aBBAxQvXhzlypXDwIEDcebMGV4ZQvf97bff9nNLhJG7h4MGDfKSvWvXrrw0wXwPAQi+kxzHYcqUKa40gXoPlYwLSvrNEydOoEePHoiNjUVycjJeeOEF2Gw23eUlRcgEvv/+e4waNQrjx4/H9u3b0ahRI3Tp0gXnz583WzTV/PXXXxg+fDg2bdqE5cuXo6CgAJ07d8b169d56YYOHYqzZ8+6/k2ePNkkibVRr149nvx///2369z//vc/LF68GD/++CP++usvnDlzBn369DFRWnVs2bKF17bly5cDAPr16+dKE0z37/r162jUqBFmzJgheH7y5Mn44IMPMHPmTGzevBnFixdHly5dkJub60ozYMAA7NmzB8uXL8dvv/2GtWvXYtiwYf5qgixSbbxx4wa2b9+OV199Fdu3b8eCBQuwf/9+9OzZ0yvt66+/zruvTz/9tD/El0XuHgJA165debJ/++23vPPBfA8B8Np29uxZzJ49GxzHoW/fvrx0gXgPlYwLcv2m3W5Hjx49kJ+fjw0bNmDevHmYO3cuxo0bp7/AjPA7t912Gxs+fLjrt91uZ+XKlWOTJk0yUSp9OH/+PAPA/vrrL9exdu3asWeffdY8oXxk/PjxrFGjRoLnMjMzWWRkJPvxxx9dx/bu3csAsI0bN/pJQn159tlnWbVq1ZjD4WCMBff9A8AWLlzo+u1wOFhqaiqbMmWK61hmZiaLjo5m3377LWOMsf/++48BYFu2bHGlWbJkCeM4jp0+fdpvsivFs41C/PPPPwwAO378uOtYpUqV2PTp040VTgeE2vfII4+wXr16ieYJxXvYq1cvdscdd/COBcs99BwXlPSbf/zxB7NYLCwjI8OV5pNPPmHx8fEsLy9PV/nIIuRn8vPzsW3bNnTq1Ml1zGKxoFOnTti4caOJkulDVlYWAKBUqVK8419//TWSkpJQv359jBkzBjdu3DBDPM0cPHgQ5cqVQ9WqVTFgwACcOHECALBt2zYUFBTw7mft2rVRsWLFoLyf+fn5+Oqrr/Doo4/yNhkO9vtXyNGjR5GRkcG7XwkJCWjevLnrfm3cuBGJiYm45ZZbXGk6deoEi8WCzZs3+11mPcjKygLHcUhMTOQdf/vtt1G6dGk0adIEU6ZMMWTawSjWrFmD5ORk1KpVC08++SQuXbrkOhdq9/DcuXP4/fffMWTIEK9zwXAPPccFJf3mxo0b0aBBA6SkpLjSdOnSBdnZ2dizZ4+u8tGmq37m4sWLsNvtvJsLACkpKdi3b59JUumDw+HAyJEj0apVK9SvX991/MEHH0SlSpVQrlw57Ny5E6NHj8b+/fuxYMECE6VVTvPmzTF37lzUqlULZ8+exYQJE9CmTRvs3r0bGRkZiIqK8hpgUlJSkJGRYY7APrBo0SJkZmZi0KBBrmPBfv/cKbwnQu9f4bmMjAwkJyfzzkdERKBUqVJBeU9zc3MxevRo9O/fn7eh5TPPPIOmTZuiVKlS2LBhA8aMGYOzZ89i2rRpJkqrjK5du6JPnz6oUqUKDh8+jJdffhndunXDxo0bYbVaQ+4ezps3DyVKlPCacg+Geyg0LijpNzMyMgTf08JzekKKEKEbw4cPx+7du3n+MwB48/INGjRA2bJl0bFjRxw+fBjVqlXzt5iq6datm+vvhg0bonnz5qhUqRJ++OEHFCtWzETJ9OeLL75At27dUK5cOdexYL9/4UxBQQHuu+8+MMbwySef8M6NGjXK9XfDhg0RFRWFxx9/HJMmTQr47RweeOAB198NGjRAw4YNUa1aNaxZswYdO3Y0UTJjmD17NgYMGICYmBje8WC4h2LjQiBBU2N+JikpCVar1cs7/ty5c0hNTTVJKt8ZMWIEfvvtN6xevRoVKlSQTNu8eXMAwKFDh/whmu4kJiaiZs2aOHToEFJTU5Gfn4/MzExemmC8n8ePH8eKFSvw2GOPSaYL5vtXeE+k3r/U1FSvhQs2mw2XL18OqntaqAQdP34cy5cv51mDhGjevDlsNhuOHTvmHwF1pGrVqkhKSnI9k6FyDwFg3bp12L9/v+x7CQTePRQbF5T0m6mpqYLvaeE5PSFFyM9ERUWhWbNmWLlypeuYw+HAypUr0aJFCxMl0wZjDCNGjMDChQuxatUqVKlSRTZPeno6AKBs2bIGS2cM165dw+HDh1G2bFk0a9YMkZGRvPu5f/9+nDhxIuju55w5c5CcnIwePXpIpgvm+1elShWkpqby7ld2djY2b97sul8tWrRAZmYmtm3b5kqzatUqOBwOlxIY6BQqQQcPHsSKFStQunRp2Tzp6emwWCxeU0rBwKlTp3Dp0iXXMxkK97CQL774As2aNUOjRo1k0wbKPZQbF5T0my1atMCuXbt4Cm2hQl+3bl3dBSb8zHfffceio6PZ3Llz2X///ceGDRvGEhMTed7xwcKTTz7JEhIS2Jo1a9jZs2dd/27cuMEYY+zQoUPs9ddfZ1u3bmVHjx5lv/zyC6tatSpr27atyZIr57nnnmNr1qxhR48eZevXr2edOnViSUlJ7Pz584wxxp544glWsWJFtmrVKrZ161bWokUL1qJFC5OlVofdbmcVK1Zko0eP5h0Pxvt39epVtmPHDrZjxw4GgE2bNo3t2LHDtWLq7bffZomJieyXX35hO3fuZL169WJVqlRhOTk5rjK6du3KmjRpwjZv3sz+/vtvVqNGDda/f3+zmuSFVBvz8/NZz549WYUKFVh6ejrvvSxcbbNhwwY2ffp0lp6ezg4fPsy++uorVqZMGTZw4ECTW+ZEqn1Xr15lzz//PNu4cSM7evQoW7FiBWvatCmrUaMGy83NdZURzPewkKysLBYbG8s++eQTr/yBfA/lxgXG5PtNm83G6tevzzp37szS09PZ0qVLWZkyZdiYMWN0l5cUIZP48MMPWcWKFVlUVBS77bbb2KZNm8wWSRMABP/NmTOHMcbYiRMnWNu2bVmpUqVYdHQ0q169OnvhhRdYVlaWuYKr4P7772dly5ZlUVFRrHz58uz+++9nhw4dcp3PyclhTz31FCtZsiSLjY1l99xzDzt79qyJEqtn2bJlDADbv38/73gw3r/Vq1cLPpOPPPIIY8y5hP7VV19lKSkpLDo6mnXs2NGr3ZcuXWL9+/dncXFxLD4+ng0ePJhdvXrVhNYII9XGo0ePir6Xq1evZowxtm3bNta8eXOWkJDAYmJiWJ06ddhbb73FUyTMRKp9N27cYJ07d2ZlypRhkZGRrFKlSmzo0KFeH5LBfA8LmTVrFitWrBjLzMz0yh/I91BuXGBMWb957Ngx1q1bN1asWDGWlJTEnnvuOVZQUKC7vNxNoQmCIAiCIMIO8hEiCIIgCCJsIUWIIAiCIIiwhRQhgiAIgiDCFlKECIIgCIIIW0gRIgiCIAgibCFFiCAIgiCIsIUUIYIgCIIgwhZShAiCCEgGDRqE3r17+73euXPnguM4cByHkSNHGlbPsWPHXPU0btzYsHoIgpCGdp8nCMLvcBwneX78+PF4//33YVa81/j4eOzfvx/Fixc3rI60tDScPXsW7777LlasWGFYPQRBSEOKEEEQfufs2bOuv7///nuMGzcO+/fvdx2Li4tDXFycGaIBcCpqRu9SbrVakZqaamo7CYKgqTGCIEwgNTXV9S8hIcGleBT+i4uL85oaa9++PZ5++mmMHDkSJUuWREpKCj777DNcv34dgwcPRokSJVC9enUsWbKEV9fu3bvRrVs3xMXFISUlBQ8//DAuXryoWubKlStj4sSJGDhwIOLi4lCpUiX8+uuvuHDhAnr16oW4uDg0bNgQW7dudeU5fvw47r77bpQsWRLFixdHvXr18Mcff2i+bgRB6A8pQgRBBA3z5s1DUlIS/vnnHzz99NN48skn0a9fP7Rs2RLbt29H586d8fDDD+PGjRsAgMzMTNxxxx1o0qQJtm7diqVLl+LcuXO47777NNU/ffp0tGrVCjt27ECPHj3w8MMPY+DAgXjooYewfft2VKtWDQMHDnRN6Q0fPhx5eXlYu3Ytdu3ahXfeeYcsQAQRYJAiRBBE0NCoUSOMHTsWNWrUwJgxYxATE4OkpCQMHToUNWrUwLhx43Dp0iXs3LkTAPDRRx+hSZMmeOutt1C7dm00adIEs2fPxurVq3HgwAHV9Xfv3h2PP/64q67s7Gzceuut6NevH2rWrInRo0dj7969OHfuHADgxIkTaNWqFRo0aICqVavirrvuQtu2bXW9JgRB+AYpQgRBBA0NGzZ0/W21WlG6dGk0aNDAdSwlJQUAcP78eQDAv//+i9WrV7t8juLi4lC7dm0AwOHDh32qv7AuqfqfeeYZTJw4Ea1atcL48eNdChpBEIEDKUIEQQQNkZGRvN8cx/GOFa5GczgcAIBr167h7rvvRnp6Ou/fwYMHNVlmhOqSqv+xxx7DkSNH8PDDD2PXrl245ZZb8OGHH6qulyAI4yBFiCCIkKVp06bYs2cPKleujOrVq/P+Gbk03p20tDQ88cQTWLBgAZ577jl89tlnfqmXIAhlkCJEEETIMnz4cFy+fBn9+/fHli1bcPjwYSxbtgyDBw+G3W43vP6RI0di2bJlOHr0KLZv347Vq1ejTp06htdLEIRySBEiCCJkKVeuHNavXw+73Y7OnTujQYMGGDlyJBITE2GxGN/92e12DB8+HHXq1EHXrl1Rs2ZNfPzxx4bXSxCEcjhmVuhWgiCIAGTu3LkYOXIkMjMz/VLfa6+9hkWLFiE9Pd0v9REEwYcsQgRBEB5kZWUhLi4Oo0ePNqyOEydOIC4uDm+99ZZhdRAEIQ9ZhAiCINy4evWqKw5QYmIikpKSDKnHZrPh2LFjAIDo6GikpaUZUg9BENKQIkQQBEEQRNhCU2MEQRAEQYQtpAgRBEEQBBG2kCJEEARBEETYQooQQRAEQRBhCylCBEEQBEGELaQIEQRBEAQRtpAiRBAEQRBE2EKKEEEQBEEQYQspQgRBEARBhC3/B8Bl8k2e9nUDAAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 9
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "### 6\\. ``brainpy.inputs.ou_process``"
   ],
   "id": "e05a3f0eab0acc8e"
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "[brainpy.inputs.ou_process()](../apis/inputs/generated/brainpy.inputs.ou_process.rst) is used to generate the noise time series from Ornstein-Uhlenback process $\\dot{x} = (\\mu - x)/\\tau \\cdot dt + \\sigma\\cdot dW$."
   ],
   "id": "20815d5d3bd7ec23"
  },
  {
   "cell_type": "code",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-10-06T04:10:40.678551Z",
     "start_time": "2025-10-06T04:10:40.377404Z"
    }
   },
   "source": [
    "duration = 200\n",
    "current7 = bp.inputs.ou_process(mean=1., sigma=0.1, tau=10., duration=duration, n=2, t_start=10., t_end=180.)\n",
    "show(current7, duration, 'Ornstein-Uhlenbeck Process')"
   ],
   "id": "205cd4757eb9528f",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 10
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "### 7\\. ``brainpy.inputs.sinusoidal_input``"
   ],
   "id": "3649d129680736ef"
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "[brainpy.inputs.sinusoidal_input()](../apis/inputs/generated/brainpy.inputs.sinusoidal_input.rst) can help to generate sinusoidal inputs."
   ],
   "id": "d76105c24c723004"
  },
  {
   "cell_type": "code",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-10-06T04:10:40.937450Z",
     "start_time": "2025-10-06T04:10:40.685539Z"
    }
   },
   "source": [
    "duration = 2000\n",
    "current8 = bp.inputs.sinusoidal_input(amplitude=1., frequency=2.0, duration=duration,  t_start=100., )\n",
    "show(current8, duration, 'Sinusoidal Input')"
   ],
   "id": "bb1926cc6d21e35c",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 11
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "### 8\\. ``brainpy.inputs.square_input``"
   ],
   "id": "c5df6990f266e0b7"
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "[brainpy.inputs.square_input()](../apis/inputs/generated/brainpy.inputs.square_input.rst) can help to generate oscillatory square inputs."
   ],
   "id": "2c070e72fd836971"
  },
  {
   "cell_type": "code",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-10-06T04:10:41.038486Z",
     "start_time": "2025-10-06T04:10:40.946134Z"
    }
   },
   "source": [
    "duration = 2000\n",
    "current9 = bp.inputs.square_input(amplitude=1., frequency=2.0,\n",
    "                                  duration=duration, t_start=100)\n",
    "show(current9, duration, 'Square Input')"
   ],
   "id": "7eb74a9416faac81",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 12
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "### More complex inputs"
   ],
   "id": "d8da731849d185e"
  },
  {
   "cell_type": "markdown",
   "id": "5ec7e24c",
   "metadata": {},
   "source": [
    "Because the current input is stored as a tensor, a complex input can be realized by the combination of several simple currents."
   ]
  },
  {
   "cell_type": "code",
   "id": "64ac8ffa",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T04:10:41.134328Z",
     "start_time": "2025-10-06T04:10:41.041360Z"
    }
   },
   "source": [
    "show(current1 + current5, 500, 'A Complex Current Input')"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 13
  },
  {
   "cell_type": "markdown",
   "id": "307b4eb1",
   "metadata": {},
   "source": [
    "## General properties of input functions"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4601f294",
   "metadata": {},
   "source": [
    "**1\\. Every input function receives a ``dt`` specification.**\n",
    "\n",
    "If ``dt`` is not provided, input functions will use the default ``dt`` in the whole BrainPy system. "
   ]
  },
  {
   "cell_type": "code",
   "id": "bf9084a9",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T04:10:41.442984Z",
     "start_time": "2025-10-06T04:10:41.145512Z"
    }
   },
   "source": [
    "I1 = bp.inputs.section_input(values=[0, 1, 2], durations=[10, 20, 30], dt=0.1)\n",
    "I2 = bp.inputs.section_input(values=[0, 1, 2], durations=[10, 20, 30], dt=0.01)\n",
    "print('I1.shape: {}'.format(I1.shape))\n",
    "print('I2.shape: {}'.format(I2.shape))"
   ],
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "I1.shape: (600,)\n",
      "I2.shape: (6000,)\n"
     ]
    }
   ],
   "execution_count": 14
  },
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    "**2\\. All input functions can automatically broadcast the current shapes if they are heterogenous among different periods.**\n",
    "\n",
    "For example, during period 1 we give an input with a scalar value, during period 2 we give an input with a vector shape, and during period 3 we give a matrix input value. Input functions will broadcast them to the maximum shape. For example:"
   ]
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     "start_time": "2025-10-06T04:10:41.465636Z"
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   "source": [
    "current = bp.inputs.section_input(values=[0, bm.ones(10), bm.random.random((3, 10))],\n",
    "                                  durations=[100, 300, 100])\n",
    "\n",
    "current.shape"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(5000, 3, 10)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 15
  }
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